Identifier
Mp00112: Set partitions complementSet partitions
Mp00080: Set partitions to permutationPermutations
Mp00065: Permutations permutation poset Posets
Images
=>
Cc0009;cc-rep-0Cc0009;cc-rep-1Cc0014;cc-rep-3
{{1}}=>{{1}}=>[1]=>([],1) {{1,2}}=>{{1,2}}=>[2,1]=>([],2) {{1},{2}}=>{{1},{2}}=>[1,2]=>([(0,1)],2) {{1,2,3}}=>{{1,2,3}}=>[2,3,1]=>([(1,2)],3) {{1,2},{3}}=>{{1},{2,3}}=>[1,3,2]=>([(0,1),(0,2)],3) {{1,3},{2}}=>{{1,3},{2}}=>[3,2,1]=>([],3) {{1},{2,3}}=>{{1,2},{3}}=>[2,1,3]=>([(0,2),(1,2)],3) {{1},{2},{3}}=>{{1},{2},{3}}=>[1,2,3]=>([(0,2),(2,1)],3) {{1,2,3,4}}=>{{1,2,3,4}}=>[2,3,4,1]=>([(1,2),(2,3)],4) {{1,2,3},{4}}=>{{1},{2,3,4}}=>[1,3,4,2]=>([(0,2),(0,3),(3,1)],4) {{1,2,4},{3}}=>{{1,3,4},{2}}=>[3,2,4,1]=>([(1,3),(2,3)],4) {{1,2},{3,4}}=>{{1,2},{3,4}}=>[2,1,4,3]=>([(0,2),(0,3),(1,2),(1,3)],4) {{1,2},{3},{4}}=>{{1},{2},{3,4}}=>[1,2,4,3]=>([(0,3),(3,1),(3,2)],4) {{1,3,4},{2}}=>{{1,2,4},{3}}=>[2,4,3,1]=>([(1,2),(1,3)],4) {{1,3},{2,4}}=>{{1,3},{2,4}}=>[3,4,1,2]=>([(0,3),(1,2)],4) {{1,3},{2},{4}}=>{{1},{2,4},{3}}=>[1,4,3,2]=>([(0,1),(0,2),(0,3)],4) {{1,4},{2,3}}=>{{1,4},{2,3}}=>[4,3,2,1]=>([],4) {{1},{2,3,4}}=>{{1,2,3},{4}}=>[2,3,1,4]=>([(0,3),(1,2),(2,3)],4) {{1},{2,3},{4}}=>{{1},{2,3},{4}}=>[1,3,2,4]=>([(0,1),(0,2),(1,3),(2,3)],4) {{1,4},{2},{3}}=>{{1,4},{2},{3}}=>[4,2,3,1]=>([(2,3)],4) {{1},{2,4},{3}}=>{{1,3},{2},{4}}=>[3,2,1,4]=>([(0,3),(1,3),(2,3)],4) {{1},{2},{3,4}}=>{{1,2},{3},{4}}=>[2,1,3,4]=>([(0,3),(1,3),(3,2)],4) {{1},{2},{3},{4}}=>{{1},{2},{3},{4}}=>[1,2,3,4]=>([(0,3),(2,1),(3,2)],4) {{1,2,3,4,5}}=>{{1,2,3,4,5}}=>[2,3,4,5,1]=>([(1,4),(3,2),(4,3)],5) {{1,2,3,4},{5}}=>{{1},{2,3,4,5}}=>[1,3,4,5,2]=>([(0,2),(0,4),(3,1),(4,3)],5) {{1,2,3,5},{4}}=>{{1,3,4,5},{2}}=>[3,2,4,5,1]=>([(1,4),(2,4),(4,3)],5) {{1,2,3},{4,5}}=>{{1,2},{3,4,5}}=>[2,1,4,5,3]=>([(0,3),(0,4),(1,3),(1,4),(4,2)],5) {{1,2,3},{4},{5}}=>{{1},{2},{3,4,5}}=>[1,2,4,5,3]=>([(0,4),(3,2),(4,1),(4,3)],5) {{1,2,4,5},{3}}=>{{1,2,4,5},{3}}=>[2,4,3,5,1]=>([(1,2),(1,3),(2,4),(3,4)],5) {{1,2,4},{3,5}}=>{{1,3},{2,4,5}}=>[3,4,1,5,2]=>([(0,3),(1,2),(1,4),(3,4)],5) {{1,2,4},{3},{5}}=>{{1},{2,4,5},{3}}=>[1,4,3,5,2]=>([(0,1),(0,2),(0,3),(2,4),(3,4)],5) {{1,2,5},{3,4}}=>{{1,4,5},{2,3}}=>[4,3,2,5,1]=>([(1,4),(2,4),(3,4)],5) {{1,2},{3,4,5}}=>{{1,2,3},{4,5}}=>[2,3,1,5,4]=>([(0,3),(0,4),(1,2),(2,3),(2,4)],5) {{1,2},{3,4},{5}}=>{{1},{2,3},{4,5}}=>[1,3,2,5,4]=>([(0,1),(0,2),(1,3),(1,4),(2,3),(2,4)],5) {{1,2,5},{3},{4}}=>{{1,4,5},{2},{3}}=>[4,2,3,5,1]=>([(1,4),(2,3),(3,4)],5) {{1,2},{3,5},{4}}=>{{1,3},{2},{4,5}}=>[3,2,1,5,4]=>([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5) {{1,2},{3},{4,5}}=>{{1,2},{3},{4,5}}=>[2,1,3,5,4]=>([(0,4),(1,4),(4,2),(4,3)],5) {{1,2},{3},{4},{5}}=>{{1},{2},{3},{4,5}}=>[1,2,3,5,4]=>([(0,3),(3,4),(4,1),(4,2)],5) {{1,3,4,5},{2}}=>{{1,2,3,5},{4}}=>[2,3,5,4,1]=>([(1,4),(4,2),(4,3)],5) {{1,3,4},{2,5}}=>{{1,4},{2,3,5}}=>[4,3,5,1,2]=>([(0,4),(1,4),(2,3)],5) {{1,3,4},{2},{5}}=>{{1},{2,3,5},{4}}=>[1,3,5,4,2]=>([(0,3),(0,4),(4,1),(4,2)],5) {{1,3,5},{2,4}}=>{{1,3,5},{2,4}}=>[3,4,5,2,1]=>([(2,3),(3,4)],5) {{1,3},{2,4,5}}=>{{1,2,4},{3,5}}=>[2,4,5,1,3]=>([(0,4),(1,2),(1,4),(2,3)],5) {{1,3},{2,4},{5}}=>{{1},{2,4},{3,5}}=>[1,4,5,2,3]=>([(0,3),(0,4),(3,2),(4,1)],5) {{1,3,5},{2},{4}}=>{{1,3,5},{2},{4}}=>[3,2,5,4,1]=>([(1,3),(1,4),(2,3),(2,4)],5) {{1,3},{2,5},{4}}=>{{1,4},{2},{3,5}}=>[4,2,5,1,3]=>([(0,4),(1,3),(2,3),(2,4)],5) {{1,3},{2},{4,5}}=>{{1,2},{3,5},{4}}=>[2,1,5,4,3]=>([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4)],5) {{1,3},{2},{4},{5}}=>{{1},{2},{3,5},{4}}=>[1,2,5,4,3]=>([(0,4),(4,1),(4,2),(4,3)],5) {{1,4,5},{2,3}}=>{{1,2,5},{3,4}}=>[2,5,4,3,1]=>([(1,2),(1,3),(1,4)],5) {{1,4},{2,3,5}}=>{{1,3,4},{2,5}}=>[3,5,4,1,2]=>([(0,4),(1,2),(1,3)],5) {{1,4},{2,3},{5}}=>{{1},{2,5},{3,4}}=>[1,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4)],5) {{1,5},{2,3,4}}=>{{1,5},{2,3,4}}=>[5,3,4,2,1]=>([(3,4)],5) {{1},{2,3,4,5}}=>{{1,2,3,4},{5}}=>[2,3,4,1,5]=>([(0,4),(1,2),(2,3),(3,4)],5) {{1},{2,3,4},{5}}=>{{1},{2,3,4},{5}}=>[1,3,4,2,5]=>([(0,2),(0,3),(1,4),(2,4),(3,1)],5) {{1,5},{2,3},{4}}=>{{1,5},{2},{3,4}}=>[5,2,4,3,1]=>([(2,3),(2,4)],5) {{1},{2,3,5},{4}}=>{{1,3,4},{2},{5}}=>[3,2,4,1,5]=>([(0,4),(1,3),(2,3),(3,4)],5) {{1},{2,3},{4,5}}=>{{1,2},{3,4},{5}}=>[2,1,4,3,5]=>([(0,3),(0,4),(1,3),(1,4),(3,2),(4,2)],5) {{1},{2,3},{4},{5}}=>{{1},{2},{3,4},{5}}=>[1,2,4,3,5]=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5) {{1,4,5},{2},{3}}=>{{1,2,5},{3},{4}}=>[2,5,3,4,1]=>([(1,3),(1,4),(4,2)],5) {{1,4},{2,5},{3}}=>{{1,4},{2,5},{3}}=>[4,5,3,1,2]=>([(1,4),(2,3)],5) {{1,4},{2},{3,5}}=>{{1,3},{2,5},{4}}=>[3,5,1,4,2]=>([(0,3),(0,4),(1,2),(1,4)],5) {{1,4},{2},{3},{5}}=>{{1},{2,5},{3},{4}}=>[1,5,3,4,2]=>([(0,2),(0,3),(0,4),(4,1)],5) {{1,5},{2,4},{3}}=>{{1,5},{2,4},{3}}=>[5,4,3,2,1]=>([],5) {{1},{2,4,5},{3}}=>{{1,2,4},{3},{5}}=>[2,4,3,1,5]=>([(0,4),(1,2),(1,3),(2,4),(3,4)],5) {{1},{2,4},{3,5}}=>{{1,3},{2,4},{5}}=>[3,4,1,2,5]=>([(0,3),(1,2),(2,4),(3,4)],5) {{1},{2,4},{3},{5}}=>{{1},{2,4},{3},{5}}=>[1,4,3,2,5]=>([(0,1),(0,2),(0,3),(1,4),(2,4),(3,4)],5) {{1,5},{2},{3,4}}=>{{1,5},{2,3},{4}}=>[5,3,2,4,1]=>([(2,4),(3,4)],5) {{1},{2,5},{3,4}}=>{{1,4},{2,3},{5}}=>[4,3,2,1,5]=>([(0,4),(1,4),(2,4),(3,4)],5) {{1},{2},{3,4,5}}=>{{1,2,3},{4},{5}}=>[2,3,1,4,5]=>([(0,4),(1,2),(2,4),(4,3)],5) {{1},{2},{3,4},{5}}=>{{1},{2,3},{4},{5}}=>[1,3,2,4,5]=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5) {{1,5},{2},{3},{4}}=>{{1,5},{2},{3},{4}}=>[5,2,3,4,1]=>([(2,3),(3,4)],5) {{1},{2,5},{3},{4}}=>{{1,4},{2},{3},{5}}=>[4,2,3,1,5]=>([(0,4),(1,4),(2,3),(3,4)],5) {{1},{2},{3,5},{4}}=>{{1,3},{2},{4},{5}}=>[3,2,1,4,5]=>([(0,4),(1,4),(2,4),(4,3)],5) {{1},{2},{3},{4,5}}=>{{1,2},{3},{4},{5}}=>[2,1,3,4,5]=>([(0,4),(1,4),(2,3),(4,2)],5) {{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}=>[1,2,3,4,5]=>([(0,4),(2,3),(3,1),(4,2)],5) {{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}=>[2,3,4,5,6,1]=>([(1,5),(3,4),(4,2),(5,3)],6) {{1,2,3,4,5},{6}}=>{{1},{2,3,4,5,6}}=>[1,3,4,5,6,2]=>([(0,2),(0,5),(3,4),(4,1),(5,3)],6) {{1,2,3,4,6},{5}}=>{{1,3,4,5,6},{2}}=>[3,2,4,5,6,1]=>([(1,5),(2,5),(3,4),(5,3)],6) {{1,2,3,4},{5,6}}=>{{1,2},{3,4,5,6}}=>[2,1,4,5,6,3]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(5,2)],6) {{1,2,3,4},{5},{6}}=>{{1},{2},{3,4,5,6}}=>[1,2,4,5,6,3]=>([(0,5),(3,4),(4,2),(5,1),(5,3)],6) {{1,2,3,5,6},{4}}=>{{1,2,4,5,6},{3}}=>[2,4,3,5,6,1]=>([(1,2),(1,3),(2,5),(3,5),(5,4)],6) {{1,2,3,5},{4,6}}=>{{1,3},{2,4,5,6}}=>[3,4,1,5,6,2]=>([(0,4),(1,3),(1,5),(4,5),(5,2)],6) {{1,2,3,5},{4},{6}}=>{{1},{2,4,5,6},{3}}=>[1,4,3,5,6,2]=>([(0,2),(0,3),(0,4),(3,5),(4,5),(5,1)],6) {{1,2,3,6},{4,5}}=>{{1,4,5,6},{2,3}}=>[4,3,2,5,6,1]=>([(1,5),(2,5),(3,5),(5,4)],6) {{1,2,3},{4,5,6}}=>{{1,2,3},{4,5,6}}=>[2,3,1,5,6,4]=>([(0,4),(0,5),(1,3),(3,4),(3,5),(5,2)],6) {{1,2,3},{4,5},{6}}=>{{1},{2,3},{4,5,6}}=>[1,3,2,5,6,4]=>([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6) {{1,2,3,6},{4},{5}}=>{{1,4,5,6},{2},{3}}=>[4,2,3,5,6,1]=>([(1,5),(2,3),(3,5),(5,4)],6) {{1,2,3},{4,6},{5}}=>{{1,3},{2},{4,5,6}}=>[3,2,1,5,6,4]=>([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6) {{1,2,3},{4},{5,6}}=>{{1,2},{3},{4,5,6}}=>[2,1,3,5,6,4]=>([(0,5),(1,5),(4,2),(5,3),(5,4)],6) {{1,2,3},{4},{5},{6}}=>{{1},{2},{3},{4,5,6}}=>[1,2,3,5,6,4]=>([(0,4),(3,2),(4,5),(5,1),(5,3)],6) {{1,2,4,5,6},{3}}=>{{1,2,3,5,6},{4}}=>[2,3,5,4,6,1]=>([(1,4),(2,5),(3,5),(4,2),(4,3)],6) {{1,2,4,5},{3,6}}=>{{1,4},{2,3,5,6}}=>[4,3,5,1,6,2]=>([(0,4),(1,4),(2,3),(2,5),(4,5)],6) {{1,2,4,5},{3},{6}}=>{{1},{2,3,5,6},{4}}=>[1,3,5,4,6,2]=>([(0,3),(0,4),(1,5),(2,5),(4,1),(4,2)],6) {{1,2,4,6},{3,5}}=>{{1,3,5,6},{2,4}}=>[3,4,5,2,6,1]=>([(1,5),(2,3),(3,4),(4,5)],6) {{1,2,4},{3,5,6}}=>{{1,2,4},{3,5,6}}=>[2,4,5,1,6,3]=>([(0,4),(0,5),(1,2),(1,4),(2,3),(3,5)],6) {{1,2,4},{3,5},{6}}=>{{1},{2,4},{3,5,6}}=>[1,4,5,2,6,3]=>([(0,3),(0,4),(2,5),(3,2),(4,1),(4,5)],6) {{1,2,4,6},{3},{5}}=>{{1,3,5,6},{2},{4}}=>[3,2,5,4,6,1]=>([(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) {{1,2,4},{3,6},{5}}=>{{1,4},{2},{3,5,6}}=>[4,2,5,1,6,3]=>([(0,4),(1,3),(1,5),(2,3),(2,4),(4,5)],6) {{1,2,4},{3},{5,6}}=>{{1,2},{3,5,6},{4}}=>[2,1,5,4,6,3]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(4,2),(5,2)],6) {{1,2,4},{3},{5},{6}}=>{{1},{2},{3,5,6},{4}}=>[1,2,5,4,6,3]=>([(0,4),(2,5),(3,5),(4,1),(4,2),(4,3)],6) {{1,2,5,6},{3,4}}=>{{1,2,5,6},{3,4}}=>[2,5,4,3,6,1]=>([(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) {{1,2,5},{3,4,6}}=>{{1,3,4},{2,5,6}}=>[3,5,4,1,6,2]=>([(0,4),(0,5),(1,2),(1,3),(2,5),(3,5)],6) {{1,2,5},{3,4},{6}}=>{{1},{2,5,6},{3,4}}=>[1,5,4,3,6,2]=>([(0,1),(0,2),(0,3),(0,4),(2,5),(3,5),(4,5)],6) {{1,2,6},{3,4,5}}=>{{1,5,6},{2,3,4}}=>[5,3,4,2,6,1]=>([(1,5),(2,5),(3,4),(4,5)],6) {{1,2},{3,4,5,6}}=>{{1,2,3,4},{5,6}}=>[2,3,4,1,6,5]=>([(0,4),(0,5),(1,2),(2,3),(3,4),(3,5)],6) {{1,2},{3,4,5},{6}}=>{{1},{2,3,4},{5,6}}=>[1,3,4,2,6,5]=>([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6) {{1,2,6},{3,4},{5}}=>{{1,5,6},{2},{3,4}}=>[5,2,4,3,6,1]=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6) {{1,2},{3,4,6},{5}}=>{{1,3,4},{2},{5,6}}=>[3,2,4,1,6,5]=>([(0,3),(1,3),(2,4),(2,5),(3,4),(3,5)],6) {{1,2},{3,4},{5,6}}=>{{1,2},{3,4},{5,6}}=>[2,1,4,3,6,5]=>([(0,4),(0,5),(1,4),(1,5),(4,2),(4,3),(5,2),(5,3)],6) {{1,2},{3,4},{5},{6}}=>{{1},{2},{3,4},{5,6}}=>[1,2,4,3,6,5]=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(3,2)],6) {{1,2,5,6},{3},{4}}=>{{1,2,5,6},{3},{4}}=>[2,5,3,4,6,1]=>([(1,3),(1,4),(2,5),(3,5),(4,2)],6) {{1,2,5},{3,6},{4}}=>{{1,4},{2,5,6},{3}}=>[4,5,3,1,6,2]=>([(0,5),(1,4),(2,3),(2,5),(4,5)],6) {{1,2,5},{3},{4,6}}=>{{1,3},{2,5,6},{4}}=>[3,5,1,4,6,2]=>([(0,2),(0,4),(1,3),(1,4),(3,5),(4,5)],6) {{1,2,5},{3},{4},{6}}=>{{1},{2,5,6},{3},{4}}=>[1,5,3,4,6,2]=>([(0,2),(0,3),(0,4),(1,5),(3,5),(4,1)],6) {{1,2,6},{3,5},{4}}=>{{1,5,6},{2,4},{3}}=>[5,4,3,2,6,1]=>([(1,5),(2,5),(3,5),(4,5)],6) {{1,2},{3,5,6},{4}}=>{{1,2,4},{3},{5,6}}=>[2,4,3,1,6,5]=>([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) {{1,2},{3,5},{4,6}}=>{{1,3},{2,4},{5,6}}=>[3,4,1,2,6,5]=>([(0,3),(1,2),(2,4),(2,5),(3,4),(3,5)],6) {{1,2},{3,5},{4},{6}}=>{{1},{2,4},{3},{5,6}}=>[1,4,3,2,6,5]=>([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) {{1,2,6},{3},{4,5}}=>{{1,5,6},{2,3},{4}}=>[5,3,2,4,6,1]=>([(1,5),(2,4),(3,4),(4,5)],6) {{1,2},{3,6},{4,5}}=>{{1,4},{2,3},{5,6}}=>[4,3,2,1,6,5]=>([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) {{1,2},{3},{4,5,6}}=>{{1,2,3},{4},{5,6}}=>[2,3,1,4,6,5]=>([(0,5),(1,2),(2,5),(5,3),(5,4)],6) {{1,2},{3},{4,5},{6}}=>{{1},{2,3},{4},{5,6}}=>[1,3,2,4,6,5]=>([(0,3),(0,4),(3,5),(4,5),(5,1),(5,2)],6) {{1,2,6},{3},{4},{5}}=>{{1,5,6},{2},{3},{4}}=>[5,2,3,4,6,1]=>([(1,5),(2,3),(3,4),(4,5)],6) {{1,2},{3,6},{4},{5}}=>{{1,4},{2},{3},{5,6}}=>[4,2,3,1,6,5]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6) {{1,2},{3},{4,6},{5}}=>{{1,3},{2},{4},{5,6}}=>[3,2,1,4,6,5]=>([(0,5),(1,5),(2,5),(5,3),(5,4)],6) {{1,2},{3},{4},{5,6}}=>{{1,2},{3},{4},{5,6}}=>[2,1,3,4,6,5]=>([(0,5),(1,5),(4,2),(4,3),(5,4)],6) {{1,2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5,6}}=>[1,2,3,4,6,5]=>([(0,4),(3,5),(4,3),(5,1),(5,2)],6) {{1,3,4,5,6},{2}}=>{{1,2,3,4,6},{5}}=>[2,3,4,6,5,1]=>([(1,4),(4,5),(5,2),(5,3)],6) {{1,3,4,5},{2,6}}=>{{1,5},{2,3,4,6}}=>[5,3,4,6,1,2]=>([(0,5),(1,3),(2,4),(4,5)],6) {{1,3,4,5},{2},{6}}=>{{1},{2,3,4,6},{5}}=>[1,3,4,6,5,2]=>([(0,3),(0,4),(4,5),(5,1),(5,2)],6) {{1,3,4,6},{2,5}}=>{{1,3,4,6},{2,5}}=>[3,5,4,6,2,1]=>([(2,3),(2,4),(3,5),(4,5)],6) {{1,3,4},{2,5,6}}=>{{1,2,5},{3,4,6}}=>[2,5,4,6,1,3]=>([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5)],6) {{1,3,4},{2,5},{6}}=>{{1},{2,5},{3,4,6}}=>[1,5,4,6,2,3]=>([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1)],6) {{1,3,4,6},{2},{5}}=>{{1,3,4,6},{2},{5}}=>[3,2,4,6,5,1]=>([(1,5),(2,5),(5,3),(5,4)],6) {{1,3,4},{2,6},{5}}=>{{1,5},{2},{3,4,6}}=>[5,2,4,6,1,3]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6) {{1,3,4},{2},{5,6}}=>{{1,2},{3,4,6},{5}}=>[2,1,4,6,5,3]=>([(0,4),(0,5),(1,4),(1,5),(5,2),(5,3)],6) {{1,3,4},{2},{5},{6}}=>{{1},{2},{3,4,6},{5}}=>[1,2,4,6,5,3]=>([(0,5),(4,2),(4,3),(5,1),(5,4)],6) {{1,3,5,6},{2,4}}=>{{1,2,4,6},{3,5}}=>[2,4,5,6,3,1]=>([(1,3),(1,5),(4,2),(5,4)],6) {{1,3,5},{2,4,6}}=>{{1,3,5},{2,4,6}}=>[3,4,5,6,1,2]=>([(0,5),(1,3),(4,2),(5,4)],6) {{1,3,5},{2,4},{6}}=>{{1},{2,4,6},{3,5}}=>[1,4,5,6,3,2]=>([(0,2),(0,3),(0,5),(4,1),(5,4)],6) {{1,3,6},{2,4,5}}=>{{1,4,6},{2,3,5}}=>[4,3,5,6,2,1]=>([(2,5),(3,5),(5,4)],6) {{1,3},{2,4,5,6}}=>{{1,2,3,5},{4,6}}=>[2,3,5,6,1,4]=>([(0,5),(1,4),(3,2),(4,3),(4,5)],6) {{1,3},{2,4,5},{6}}=>{{1},{2,3,5},{4,6}}=>[1,3,5,6,2,4]=>([(0,2),(0,4),(2,5),(3,1),(4,3),(4,5)],6) {{1,3,6},{2,4},{5}}=>{{1,4,6},{2},{3,5}}=>[4,2,5,6,3,1]=>([(1,5),(2,3),(2,5),(5,4)],6) {{1,3},{2,4,6},{5}}=>{{1,3,5},{2},{4,6}}=>[3,2,5,6,1,4]=>([(0,5),(1,4),(1,5),(2,4),(2,5),(4,3)],6) {{1,3},{2,4},{5,6}}=>{{1,2},{3,5},{4,6}}=>[2,1,5,6,3,4]=>([(0,4),(0,5),(1,4),(1,5),(4,3),(5,2)],6) {{1,3},{2,4},{5},{6}}=>{{1},{2},{3,5},{4,6}}=>[1,2,5,6,3,4]=>([(0,5),(3,2),(4,1),(5,3),(5,4)],6) {{1,3,5,6},{2},{4}}=>{{1,2,4,6},{3},{5}}=>[2,4,3,6,5,1]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) {{1,3,5},{2,6},{4}}=>{{1,5},{2,4,6},{3}}=>[5,4,3,6,1,2]=>([(0,5),(1,5),(2,5),(3,4)],6) {{1,3,5},{2},{4,6}}=>{{1,3},{2,4,6},{5}}=>[3,4,1,6,5,2]=>([(0,3),(1,2),(1,4),(1,5),(3,4),(3,5)],6) {{1,3,5},{2},{4},{6}}=>{{1},{2,4,6},{3},{5}}=>[1,4,3,6,5,2]=>([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5)],6) {{1,3,6},{2,5},{4}}=>{{1,4,6},{2,5},{3}}=>[4,5,3,6,2,1]=>([(2,5),(3,4),(4,5)],6) {{1,3},{2,5,6},{4}}=>{{1,2,5},{3},{4,6}}=>[2,5,3,6,1,4]=>([(0,4),(1,2),(1,3),(2,5),(3,4),(3,5)],6) {{1,3},{2,5},{4,6}}=>{{1,3},{2,5},{4,6}}=>[3,5,1,6,2,4]=>([(0,3),(0,5),(1,2),(1,4),(2,5),(3,4)],6) {{1,3},{2,5},{4},{6}}=>{{1},{2,5},{3},{4,6}}=>[1,5,3,6,2,4]=>([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5)],6) {{1,3,6},{2},{4,5}}=>{{1,4,6},{2,3},{5}}=>[4,3,2,6,5,1]=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) {{1,3},{2,6},{4,5}}=>{{1,5},{2,3},{4,6}}=>[5,3,2,6,1,4]=>([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6) {{1,3},{2},{4,5,6}}=>{{1,2,3},{4,6},{5}}=>[2,3,1,6,5,4]=>([(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) {{1,3},{2},{4,5},{6}}=>{{1},{2,3},{4,6},{5}}=>[1,3,2,6,5,4]=>([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) {{1,3,6},{2},{4},{5}}=>{{1,4,6},{2},{3},{5}}=>[4,2,3,6,5,1]=>([(1,4),(1,5),(2,3),(3,4),(3,5)],6) {{1,3},{2,6},{4},{5}}=>{{1,5},{2},{3},{4,6}}=>[5,2,3,6,1,4]=>([(0,5),(1,4),(2,3),(3,4),(3,5)],6) {{1,3},{2},{4,6},{5}}=>{{1,3},{2},{4,6},{5}}=>[3,2,1,6,5,4]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) {{1,3},{2},{4},{5,6}}=>{{1,2},{3},{4,6},{5}}=>[2,1,3,6,5,4]=>([(0,5),(1,5),(5,2),(5,3),(5,4)],6) {{1,3},{2},{4},{5},{6}}=>{{1},{2},{3},{4,6},{5}}=>[1,2,3,6,5,4]=>([(0,4),(4,5),(5,1),(5,2),(5,3)],6) {{1,4,5,6},{2,3}}=>{{1,2,3,6},{4,5}}=>[2,3,6,5,4,1]=>([(1,5),(5,2),(5,3),(5,4)],6) {{1,4,5},{2,3,6}}=>{{1,4,5},{2,3,6}}=>[4,3,6,5,1,2]=>([(0,4),(0,5),(1,4),(1,5),(2,3)],6) {{1,4,5},{2,3},{6}}=>{{1},{2,3,6},{4,5}}=>[1,3,6,5,4,2]=>([(0,4),(0,5),(5,1),(5,2),(5,3)],6) {{1,4,6},{2,3,5}}=>{{1,3,6},{2,4,5}}=>[3,4,6,5,2,1]=>([(2,3),(3,4),(3,5)],6) {{1,4},{2,3,5,6}}=>{{1,2,4,5},{3,6}}=>[2,4,6,5,1,3]=>([(0,5),(1,4),(1,5),(4,2),(4,3)],6) {{1,4},{2,3,5},{6}}=>{{1},{2,4,5},{3,6}}=>[1,4,6,5,2,3]=>([(0,4),(0,5),(4,3),(5,1),(5,2)],6) {{1,4,6},{2,3},{5}}=>{{1,3,6},{2},{4,5}}=>[3,2,6,5,4,1]=>([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) {{1,4},{2,3,6},{5}}=>{{1,4,5},{2},{3,6}}=>[4,2,6,5,1,3]=>([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) {{1,4},{2,3},{5,6}}=>{{1,2},{3,6},{4,5}}=>[2,1,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6) {{1,4},{2,3},{5},{6}}=>{{1},{2},{3,6},{4,5}}=>[1,2,6,5,4,3]=>([(0,5),(5,1),(5,2),(5,3),(5,4)],6) {{1,5,6},{2,3,4}}=>{{1,2,6},{3,4,5}}=>[2,6,4,5,3,1]=>([(1,3),(1,4),(1,5),(5,2)],6) {{1,5},{2,3,4,6}}=>{{1,3,4,5},{2,6}}=>[3,6,4,5,1,2]=>([(0,4),(1,3),(1,5),(5,2)],6) {{1,5},{2,3,4},{6}}=>{{1},{2,6},{3,4,5}}=>[1,6,4,5,3,2]=>([(0,2),(0,3),(0,4),(0,5),(5,1)],6) {{1,6},{2,3,4,5}}=>{{1,6},{2,3,4,5}}=>[6,3,4,5,2,1]=>([(3,4),(4,5)],6) {{1},{2,3,4,5,6}}=>{{1,2,3,4,5},{6}}=>[2,3,4,5,1,6]=>([(0,5),(1,4),(2,5),(3,2),(4,3)],6) {{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}=>[1,3,4,5,2,6]=>([(0,2),(0,4),(1,5),(2,5),(3,1),(4,3)],6) {{1,6},{2,3,4},{5}}=>{{1,6},{2},{3,4,5}}=>[6,2,4,5,3,1]=>([(2,3),(2,4),(4,5)],6) {{1},{2,3,4,6},{5}}=>{{1,3,4,5},{2},{6}}=>[3,2,4,5,1,6]=>([(0,5),(1,4),(2,4),(3,5),(4,3)],6) {{1},{2,3,4},{5,6}}=>{{1,2},{3,4,5},{6}}=>[2,1,4,5,3,6]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(4,2),(5,3)],6) {{1},{2,3,4},{5},{6}}=>{{1},{2},{3,4,5},{6}}=>[1,2,4,5,3,6]=>([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) {{1,5,6},{2,3},{4}}=>{{1,2,6},{3},{4,5}}=>[2,6,3,5,4,1]=>([(1,4),(1,5),(5,2),(5,3)],6) {{1,5},{2,3,6},{4}}=>{{1,4,5},{2,6},{3}}=>[4,6,3,5,1,2]=>([(0,5),(1,3),(2,4),(2,5)],6) {{1,5},{2,3},{4,6}}=>{{1,3},{2,6},{4,5}}=>[3,6,1,5,4,2]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5)],6) {{1,5},{2,3},{4},{6}}=>{{1},{2,6},{3},{4,5}}=>[1,6,3,5,4,2]=>([(0,3),(0,4),(0,5),(5,1),(5,2)],6) {{1,6},{2,3,5},{4}}=>{{1,6},{2,4,5},{3}}=>[6,4,3,5,2,1]=>([(3,5),(4,5)],6) {{1},{2,3,5,6},{4}}=>{{1,2,4,5},{3},{6}}=>[2,4,3,5,1,6]=>([(0,4),(1,2),(1,3),(2,5),(3,5),(5,4)],6) {{1},{2,3,5},{4,6}}=>{{1,3},{2,4,5},{6}}=>[3,4,1,5,2,6]=>([(0,3),(1,2),(1,4),(2,5),(3,4),(4,5)],6) {{1},{2,3,5},{4},{6}}=>{{1},{2,4,5},{3},{6}}=>[1,4,3,5,2,6]=>([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(4,5)],6) {{1,6},{2,3},{4,5}}=>{{1,6},{2,3},{4,5}}=>[6,3,2,5,4,1]=>([(2,4),(2,5),(3,4),(3,5)],6) {{1},{2,3,6},{4,5}}=>{{1,4,5},{2,3},{6}}=>[4,3,2,5,1,6]=>([(0,5),(1,5),(2,5),(3,4),(5,4)],6) {{1},{2,3},{4,5,6}}=>{{1,2,3},{4,5},{6}}=>[2,3,1,5,4,6]=>([(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) {{1},{2,3},{4,5},{6}}=>{{1},{2,3},{4,5},{6}}=>[1,3,2,5,4,6]=>([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) {{1,6},{2,3},{4},{5}}=>{{1,6},{2},{3},{4,5}}=>[6,2,3,5,4,1]=>([(2,3),(3,4),(3,5)],6) {{1},{2,3,6},{4},{5}}=>{{1,4,5},{2},{3},{6}}=>[4,2,3,5,1,6]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6) {{1},{2,3},{4,6},{5}}=>{{1,3},{2},{4,5},{6}}=>[3,2,1,5,4,6]=>([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) {{1},{2,3},{4},{5,6}}=>{{1,2},{3},{4,5},{6}}=>[2,1,3,5,4,6]=>([(0,4),(1,4),(2,5),(3,5),(4,2),(4,3)],6) {{1},{2,3},{4},{5},{6}}=>{{1},{2},{3},{4,5},{6}}=>[1,2,3,5,4,6]=>([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) {{1,4,5,6},{2},{3}}=>{{1,2,3,6},{4},{5}}=>[2,3,6,4,5,1]=>([(1,5),(4,3),(5,2),(5,4)],6) {{1,4,5},{2,6},{3}}=>{{1,5},{2,3,6},{4}}=>[5,3,6,4,1,2]=>([(0,5),(1,3),(2,4),(2,5)],6) {{1,4,5},{2},{3,6}}=>{{1,4},{2,3,6},{5}}=>[4,3,6,1,5,2]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5)],6) {{1,4,5},{2},{3},{6}}=>{{1},{2,3,6},{4},{5}}=>[1,3,6,4,5,2]=>([(0,3),(0,5),(4,2),(5,1),(5,4)],6) {{1,4,6},{2,5},{3}}=>{{1,3,6},{2,5},{4}}=>[3,5,6,4,2,1]=>([(2,3),(2,4),(4,5)],6) {{1,4},{2,5,6},{3}}=>{{1,2,5},{3,6},{4}}=>[2,5,6,4,1,3]=>([(0,5),(1,3),(1,4),(1,5),(4,2)],6) {{1,4},{2,5},{3,6}}=>{{1,4},{2,5},{3,6}}=>[4,5,6,1,2,3]=>([(0,5),(1,4),(4,2),(5,3)],6) {{1,4},{2,5},{3},{6}}=>{{1},{2,5},{3,6},{4}}=>[1,5,6,4,2,3]=>([(0,3),(0,4),(0,5),(4,2),(5,1)],6) {{1,4,6},{2},{3,5}}=>{{1,3,6},{2,4},{5}}=>[3,4,6,2,5,1]=>([(1,5),(2,3),(3,4),(3,5)],6) {{1,4},{2,6},{3,5}}=>{{1,5},{2,4},{3,6}}=>[5,4,6,2,1,3]=>([(0,5),(1,5),(2,4),(3,4)],6) {{1,4},{2},{3,5,6}}=>{{1,2,4},{3,6},{5}}=>[2,4,6,1,5,3]=>([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5)],6) {{1,4},{2},{3,5},{6}}=>{{1},{2,4},{3,6},{5}}=>[1,4,6,2,5,3]=>([(0,3),(0,4),(3,2),(3,5),(4,1),(4,5)],6) {{1,4,6},{2},{3},{5}}=>{{1,3,6},{2},{4},{5}}=>[3,2,6,4,5,1]=>([(1,4),(1,5),(2,4),(2,5),(5,3)],6) {{1,4},{2,6},{3},{5}}=>{{1,5},{2},{3,6},{4}}=>[5,2,6,4,1,3]=>([(0,5),(1,4),(2,3),(2,4),(2,5)],6) {{1,4},{2},{3,6},{5}}=>{{1,4},{2},{3,6},{5}}=>[4,2,6,1,5,3]=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5)],6) {{1,4},{2},{3},{5,6}}=>{{1,2},{3,6},{4},{5}}=>[2,1,6,4,5,3]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6) {{1,4},{2},{3},{5},{6}}=>{{1},{2},{3,6},{4},{5}}=>[1,2,6,4,5,3]=>([(0,5),(4,3),(5,1),(5,2),(5,4)],6) {{1,5,6},{2,4},{3}}=>{{1,2,6},{3,5},{4}}=>[2,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5)],6) {{1,5},{2,4,6},{3}}=>{{1,3,5},{2,6},{4}}=>[3,6,5,4,1,2]=>([(0,5),(1,2),(1,3),(1,4)],6) {{1,5},{2,4},{3,6}}=>{{1,4},{2,6},{3,5}}=>[4,6,5,1,3,2]=>([(0,4),(0,5),(1,2),(1,3)],6) {{1,5},{2,4},{3},{6}}=>{{1},{2,6},{3,5},{4}}=>[1,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6) {{1,6},{2,4,5},{3}}=>{{1,6},{2,3,5},{4}}=>[6,3,5,4,2,1]=>([(3,4),(3,5)],6) {{1},{2,4,5,6},{3}}=>{{1,2,3,5},{4},{6}}=>[2,3,5,4,1,6]=>([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6) {{1},{2,4,5},{3,6}}=>{{1,4},{2,3,5},{6}}=>[4,3,5,1,2,6]=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6) {{1},{2,4,5},{3},{6}}=>{{1},{2,3,5},{4},{6}}=>[1,3,5,4,2,6]=>([(0,3),(0,4),(1,5),(2,5),(3,5),(4,1),(4,2)],6) {{1,6},{2,4},{3,5}}=>{{1,6},{2,4},{3,5}}=>[6,4,5,2,3,1]=>([(2,5),(3,4)],6) {{1},{2,4,6},{3,5}}=>{{1,3,5},{2,4},{6}}=>[3,4,5,2,1,6]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6) {{1},{2,4},{3,5,6}}=>{{1,2,4},{3,5},{6}}=>[2,4,5,1,3,6]=>([(0,4),(1,2),(1,4),(2,3),(3,5),(4,5)],6) {{1},{2,4},{3,5},{6}}=>{{1},{2,4},{3,5},{6}}=>[1,4,5,2,3,6]=>([(0,3),(0,4),(1,5),(2,5),(3,2),(4,1)],6) {{1,6},{2,4},{3},{5}}=>{{1,6},{2},{3,5},{4}}=>[6,2,5,4,3,1]=>([(2,3),(2,4),(2,5)],6) {{1},{2,4,6},{3},{5}}=>{{1,3,5},{2},{4},{6}}=>[3,2,5,4,1,6]=>([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) {{1},{2,4},{3,6},{5}}=>{{1,4},{2},{3,5},{6}}=>[4,2,5,1,3,6]=>([(0,4),(1,3),(2,3),(2,4),(3,5),(4,5)],6) {{1},{2,4},{3},{5,6}}=>{{1,2},{3,5},{4},{6}}=>[2,1,5,4,3,6]=>([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) {{1},{2,4},{3},{5},{6}}=>{{1},{2},{3,5},{4},{6}}=>[1,2,5,4,3,6]=>([(0,4),(1,5),(2,5),(3,5),(4,1),(4,2),(4,3)],6) {{1,5,6},{2},{3,4}}=>{{1,2,6},{3,4},{5}}=>[2,6,4,3,5,1]=>([(1,2),(1,3),(1,4),(3,5),(4,5)],6) {{1,5},{2,6},{3,4}}=>{{1,5},{2,6},{3,4}}=>[5,6,4,3,1,2]=>([(2,5),(3,4)],6) {{1,5},{2},{3,4,6}}=>{{1,3,4},{2,6},{5}}=>[3,6,4,1,5,2]=>([(0,4),(0,5),(1,2),(1,3),(3,5)],6) {{1,5},{2},{3,4},{6}}=>{{1},{2,6},{3,4},{5}}=>[1,6,4,3,5,2]=>([(0,1),(0,2),(0,3),(0,4),(3,5),(4,5)],6) {{1,6},{2,5},{3,4}}=>{{1,6},{2,5},{3,4}}=>[6,5,4,3,2,1]=>([],6) {{1},{2,5,6},{3,4}}=>{{1,2,5},{3,4},{6}}=>[2,5,4,3,1,6]=>([(0,5),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) {{1},{2,5},{3,4,6}}=>{{1,3,4},{2,5},{6}}=>[3,5,4,1,2,6]=>([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6) {{1},{2,5},{3,4},{6}}=>{{1},{2,5},{3,4},{6}}=>[1,5,4,3,2,6]=>([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,5)],6) {{1,6},{2},{3,4,5}}=>{{1,6},{2,3,4},{5}}=>[6,3,4,2,5,1]=>([(2,5),(3,4),(4,5)],6) {{1},{2,6},{3,4,5}}=>{{1,5},{2,3,4},{6}}=>[5,3,4,2,1,6]=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6) {{1},{2},{3,4,5,6}}=>{{1,2,3,4},{5},{6}}=>[2,3,4,1,5,6]=>([(0,5),(1,4),(2,5),(4,2),(5,3)],6) {{1},{2},{3,4,5},{6}}=>{{1},{2,3,4},{5},{6}}=>[1,3,4,2,5,6]=>([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) {{1,6},{2},{3,4},{5}}=>{{1,6},{2},{3,4},{5}}=>[6,2,4,3,5,1]=>([(2,3),(2,4),(3,5),(4,5)],6) {{1},{2,6},{3,4},{5}}=>{{1,5},{2},{3,4},{6}}=>[5,2,4,3,1,6]=>([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6) {{1},{2},{3,4,6},{5}}=>{{1,3,4},{2},{5},{6}}=>[3,2,4,1,5,6]=>([(0,5),(1,4),(2,4),(4,5),(5,3)],6) {{1},{2},{3,4},{5,6}}=>{{1,2},{3,4},{5},{6}}=>[2,1,4,3,5,6]=>([(0,4),(0,5),(1,4),(1,5),(3,2),(4,3),(5,3)],6) {{1},{2},{3,4},{5},{6}}=>{{1},{2},{3,4},{5},{6}}=>[1,2,4,3,5,6]=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) {{1,5,6},{2},{3},{4}}=>{{1,2,6},{3},{4},{5}}=>[2,6,3,4,5,1]=>([(1,3),(1,5),(4,2),(5,4)],6) {{1,5},{2,6},{3},{4}}=>{{1,5},{2,6},{3},{4}}=>[5,6,3,4,1,2]=>([(0,5),(1,4),(2,3)],6) {{1,5},{2},{3,6},{4}}=>{{1,4},{2,6},{3},{5}}=>[4,6,3,1,5,2]=>([(0,5),(1,4),(1,5),(2,3),(2,5)],6) {{1,5},{2},{3},{4,6}}=>{{1,3},{2,6},{4},{5}}=>[3,6,1,4,5,2]=>([(0,4),(0,5),(1,3),(1,5),(5,2)],6) {{1,5},{2},{3},{4},{6}}=>{{1},{2,6},{3},{4},{5}}=>[1,6,3,4,5,2]=>([(0,2),(0,3),(0,5),(4,1),(5,4)],6) {{1,6},{2,5},{3},{4}}=>{{1,6},{2,5},{3},{4}}=>[6,5,3,4,2,1]=>([(4,5)],6) {{1},{2,5,6},{3},{4}}=>{{1,2,5},{3},{4},{6}}=>[2,5,3,4,1,6]=>([(0,5),(1,3),(1,4),(2,5),(3,5),(4,2)],6) {{1},{2,5},{3,6},{4}}=>{{1,4},{2,5},{3},{6}}=>[4,5,3,1,2,6]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6) {{1},{2,5},{3},{4,6}}=>{{1,3},{2,5},{4},{6}}=>[3,5,1,4,2,6]=>([(0,3),(0,4),(1,2),(1,4),(2,5),(3,5),(4,5)],6) {{1},{2,5},{3},{4},{6}}=>{{1},{2,5},{3},{4},{6}}=>[1,5,3,4,2,6]=>([(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,1)],6) {{1,6},{2},{3,5},{4}}=>{{1,6},{2,4},{3},{5}}=>[6,4,3,2,5,1]=>([(2,5),(3,5),(4,5)],6) {{1},{2,6},{3,5},{4}}=>{{1,5},{2,4},{3},{6}}=>[5,4,3,2,1,6]=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6) {{1},{2},{3,5,6},{4}}=>{{1,2,4},{3},{5},{6}}=>[2,4,3,1,5,6]=>([(0,5),(1,2),(1,3),(2,5),(3,5),(5,4)],6) {{1},{2},{3,5},{4,6}}=>{{1,3},{2,4},{5},{6}}=>[3,4,1,2,5,6]=>([(0,4),(1,3),(3,5),(4,5),(5,2)],6) {{1},{2},{3,5},{4},{6}}=>{{1},{2,4},{3},{5},{6}}=>[1,4,3,2,5,6]=>([(0,2),(0,3),(0,4),(2,5),(3,5),(4,5),(5,1)],6) {{1,6},{2},{3},{4,5}}=>{{1,6},{2,3},{4},{5}}=>[6,3,2,4,5,1]=>([(2,5),(3,5),(5,4)],6) {{1},{2,6},{3},{4,5}}=>{{1,5},{2,3},{4},{6}}=>[5,3,2,4,1,6]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6) {{1},{2},{3,6},{4,5}}=>{{1,4},{2,3},{5},{6}}=>[4,3,2,1,5,6]=>([(0,5),(1,5),(2,5),(3,5),(5,4)],6) {{1},{2},{3},{4,5,6}}=>{{1,2,3},{4},{5},{6}}=>[2,3,1,4,5,6]=>([(0,5),(1,3),(3,5),(4,2),(5,4)],6) {{1},{2},{3},{4,5},{6}}=>{{1},{2,3},{4},{5},{6}}=>[1,3,2,4,5,6]=>([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) {{1,6},{2},{3},{4},{5}}=>{{1,6},{2},{3},{4},{5}}=>[6,2,3,4,5,1]=>([(2,3),(3,5),(5,4)],6) {{1},{2,6},{3},{4},{5}}=>{{1,5},{2},{3},{4},{6}}=>[5,2,3,4,1,6]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6) {{1},{2},{3,6},{4},{5}}=>{{1,4},{2},{3},{5},{6}}=>[4,2,3,1,5,6]=>([(0,5),(1,5),(2,3),(3,5),(5,4)],6) {{1},{2},{3},{4,6},{5}}=>{{1,3},{2},{4},{5},{6}}=>[3,2,1,4,5,6]=>([(0,5),(1,5),(2,5),(3,4),(5,3)],6) {{1},{2},{3},{4},{5,6}}=>{{1,2},{3},{4},{5},{6}}=>[2,1,3,4,5,6]=>([(0,5),(1,5),(3,2),(4,3),(5,4)],6) {{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}=>[1,2,3,4,5,6]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6) {{1,2,3,4,5,6,7}}=>{{1,2,3,4,5,6,7}}=>[2,3,4,5,6,7,1]=>([(1,6),(3,5),(4,3),(5,2),(6,4)],7) {{1,2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6,7}}=>[1,3,4,5,6,7,2]=>([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) {{1,2,3,4,5,7},{6}}=>{{1,3,4,5,6,7},{2}}=>[3,2,4,5,6,7,1]=>([(1,6),(2,6),(3,5),(5,4),(6,3)],7) {{1,2,3,4,5},{6,7}}=>{{1,2},{3,4,5,6,7}}=>[2,1,4,5,6,7,3]=>([(0,5),(0,6),(1,5),(1,6),(3,4),(4,2),(6,3)],7) {{1,2,3,4,5},{6},{7}}=>{{1},{2},{3,4,5,6,7}}=>[1,2,4,5,6,7,3]=>([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) {{1,2,3,4,6,7},{5}}=>{{1,2,4,5,6,7},{3}}=>[2,4,3,5,6,7,1]=>([(1,3),(1,4),(3,6),(4,6),(5,2),(6,5)],7) {{1,2,3,4,6},{5,7}}=>{{1,3},{2,4,5,6,7}}=>[3,4,1,5,6,7,2]=>([(0,4),(1,3),(1,6),(4,6),(5,2),(6,5)],7) {{1,2,3,4,6},{5},{7}}=>{{1},{2,4,5,6,7},{3}}=>[1,4,3,5,6,7,2]=>([(0,2),(0,3),(0,4),(3,6),(4,6),(5,1),(6,5)],7) {{1,2,3,4,7},{5,6}}=>{{1,4,5,6,7},{2,3}}=>[4,3,2,5,6,7,1]=>([(1,6),(2,6),(3,6),(4,5),(6,4)],7) {{1,2,3,4},{5,6,7}}=>{{1,2,3},{4,5,6,7}}=>[2,3,1,5,6,7,4]=>([(0,5),(0,6),(1,3),(3,5),(3,6),(4,2),(6,4)],7) {{1,2,3,4},{5,6},{7}}=>{{1},{2,3},{4,5,6,7}}=>[1,3,2,5,6,7,4]=>([(0,2),(0,3),(2,5),(2,6),(3,5),(3,6),(4,1),(6,4)],7) {{1,2,3,4,7},{5},{6}}=>{{1,4,5,6,7},{2},{3}}=>[4,2,3,5,6,7,1]=>([(1,6),(2,3),(3,6),(4,5),(6,4)],7) {{1,2,3,4},{5,7},{6}}=>{{1,3},{2},{4,5,6,7}}=>[3,2,1,5,6,7,4]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7) {{1,2,3,4},{5},{6,7}}=>{{1,2},{3},{4,5,6,7}}=>[2,1,3,5,6,7,4]=>([(0,6),(1,6),(4,2),(5,4),(6,3),(6,5)],7) {{1,2,3,4},{5},{6},{7}}=>{{1},{2},{3},{4,5,6,7}}=>[1,2,3,5,6,7,4]=>([(0,5),(3,4),(4,1),(5,6),(6,2),(6,3)],7) {{1,2,3,5,6,7},{4}}=>{{1,2,3,5,6,7},{4}}=>[2,3,5,4,6,7,1]=>([(1,5),(2,6),(3,6),(5,2),(5,3),(6,4)],7) {{1,2,3,5,6},{4,7}}=>{{1,4},{2,3,5,6,7}}=>[4,3,5,1,6,7,2]=>([(0,5),(1,5),(2,4),(2,6),(5,6),(6,3)],7) {{1,2,3,5,6},{4},{7}}=>{{1},{2,3,5,6,7},{4}}=>[1,3,5,4,6,7,2]=>([(0,4),(0,5),(1,6),(2,6),(5,1),(5,2),(6,3)],7) {{1,2,3,5,7},{4,6}}=>{{1,3,5,6,7},{2,4}}=>[3,4,5,2,6,7,1]=>([(1,6),(2,3),(3,5),(5,6),(6,4)],7) {{1,2,3,5},{4,6,7}}=>{{1,2,4},{3,5,6,7}}=>[2,4,5,1,6,7,3]=>([(0,5),(0,6),(1,4),(1,5),(3,6),(4,3),(6,2)],7) {{1,2,3,5},{4,6},{7}}=>{{1},{2,4},{3,5,6,7}}=>[1,4,5,2,6,7,3]=>([(0,4),(0,5),(2,6),(4,2),(5,1),(5,6),(6,3)],7) {{1,2,3,5,7},{4},{6}}=>{{1,3,5,6,7},{2},{4}}=>[3,2,5,4,6,7,1]=>([(1,4),(1,5),(2,4),(2,5),(4,6),(5,6),(6,3)],7) {{1,2,3,5},{4,7},{6}}=>{{1,4},{2},{3,5,6,7}}=>[4,2,5,1,6,7,3]=>([(0,5),(1,4),(1,6),(2,4),(2,5),(5,6),(6,3)],7) {{1,2,3,5},{4},{6,7}}=>{{1,2},{3,5,6,7},{4}}=>[2,1,5,4,6,7,3]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(3,2),(5,3),(6,3)],7) {{1,2,3,5},{4},{6},{7}}=>{{1},{2},{3,5,6,7},{4}}=>[1,2,5,4,6,7,3]=>([(0,5),(2,6),(3,6),(5,1),(5,2),(5,3),(6,4)],7) {{1,2,3,6,7},{4,5}}=>{{1,2,5,6,7},{3,4}}=>[2,5,4,3,6,7,1]=>([(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7) {{1,2,3,6},{4,5,7}}=>{{1,3,4},{2,5,6,7}}=>[3,5,4,1,6,7,2]=>([(0,5),(0,6),(1,2),(1,3),(2,6),(3,6),(6,4)],7) {{1,2,3,6},{4,5},{7}}=>{{1},{2,5,6,7},{3,4}}=>[1,5,4,3,6,7,2]=>([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6),(6,1)],7) {{1,2,3,7},{4,5,6}}=>{{1,5,6,7},{2,3,4}}=>[5,3,4,2,6,7,1]=>([(1,6),(2,6),(3,4),(4,6),(6,5)],7) {{1,2,3},{4,5,6,7}}=>{{1,2,3,4},{5,6,7}}=>[2,3,4,1,6,7,5]=>([(0,5),(0,6),(1,4),(3,5),(3,6),(4,3),(6,2)],7) {{1,2,3},{4,5,6},{7}}=>{{1},{2,3,4},{5,6,7}}=>[1,3,4,2,6,7,5]=>([(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,2),(6,1)],7) {{1,2,3,7},{4,5},{6}}=>{{1,5,6,7},{2},{3,4}}=>[5,2,4,3,6,7,1]=>([(1,6),(2,3),(2,4),(3,6),(4,6),(6,5)],7) {{1,2,3},{4,5,7},{6}}=>{{1,3,4},{2},{5,6,7}}=>[3,2,4,1,6,7,5]=>([(0,5),(0,6),(1,4),(2,4),(4,5),(4,6),(6,3)],7) {{1,2,3},{4,5},{6,7}}=>{{1,2},{3,4},{5,6,7}}=>[2,1,4,3,6,7,5]=>([(0,5),(0,6),(1,5),(1,6),(4,2),(5,3),(5,4),(6,3),(6,4)],7) {{1,2,3},{4,5},{6},{7}}=>{{1},{2},{3,4},{5,6,7}}=>[1,2,4,3,6,7,5]=>([(0,4),(2,5),(2,6),(3,5),(3,6),(4,2),(4,3),(6,1)],7) {{1,2,3,6,7},{4},{5}}=>{{1,2,5,6,7},{3},{4}}=>[2,5,3,4,6,7,1]=>([(1,3),(1,5),(2,6),(3,6),(5,2),(6,4)],7) {{1,2,3,6},{4,7},{5}}=>{{1,4},{2,5,6,7},{3}}=>[4,5,3,1,6,7,2]=>([(0,6),(1,4),(2,3),(2,6),(4,6),(6,5)],7) {{1,2,3,6},{4},{5,7}}=>{{1,3},{2,5,6,7},{4}}=>[3,5,1,4,6,7,2]=>([(0,3),(0,5),(1,4),(1,5),(4,6),(5,6),(6,2)],7) {{1,2,3,6},{4},{5},{7}}=>{{1},{2,5,6,7},{3},{4}}=>[1,5,3,4,6,7,2]=>([(0,3),(0,4),(0,5),(1,6),(4,6),(5,1),(6,2)],7) {{1,2,3,7},{4,6},{5}}=>{{1,5,6,7},{2,4},{3}}=>[5,4,3,2,6,7,1]=>([(1,6),(2,6),(3,6),(4,6),(6,5)],7) {{1,2,3},{4,6,7},{5}}=>{{1,2,4},{3},{5,6,7}}=>[2,4,3,1,6,7,5]=>([(0,5),(0,6),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6),(6,2)],7) {{1,2,3},{4,6},{5,7}}=>{{1,3},{2,4},{5,6,7}}=>[3,4,1,2,6,7,5]=>([(0,4),(1,3),(3,5),(3,6),(4,5),(4,6),(6,2)],7) {{1,2,3},{4,6},{5},{7}}=>{{1},{2,4},{3},{5,6,7}}=>[1,4,3,2,6,7,5]=>([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(6,1)],7) {{1,2,3,7},{4},{5,6}}=>{{1,5,6,7},{2,3},{4}}=>[5,3,2,4,6,7,1]=>([(1,6),(2,5),(3,5),(5,6),(6,4)],7) {{1,2,3},{4,7},{5,6}}=>{{1,4},{2,3},{5,6,7}}=>[4,3,2,1,6,7,5]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) {{1,2,3},{4},{5,6,7}}=>{{1,2,3},{4},{5,6,7}}=>[2,3,1,4,6,7,5]=>([(0,6),(1,3),(3,6),(5,2),(6,4),(6,5)],7) {{1,2,3},{4},{5,6},{7}}=>{{1},{2,3},{4},{5,6,7}}=>[1,3,2,4,6,7,5]=>([(0,3),(0,4),(3,6),(4,6),(5,1),(6,2),(6,5)],7) {{1,2,3,7},{4},{5},{6}}=>{{1,5,6,7},{2},{3},{4}}=>[5,2,3,4,6,7,1]=>([(1,6),(2,3),(3,5),(5,6),(6,4)],7) {{1,2,3},{4,7},{5},{6}}=>{{1,4},{2},{3},{5,6,7}}=>[4,2,3,1,6,7,5]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7) {{1,2,3},{4},{5,7},{6}}=>{{1,3},{2},{4},{5,6,7}}=>[3,2,1,4,6,7,5]=>([(0,6),(1,6),(2,6),(4,5),(6,3),(6,4)],7) {{1,2,3},{4},{5},{6,7}}=>{{1,2},{3},{4},{5,6,7}}=>[2,1,3,4,6,7,5]=>([(0,6),(1,6),(4,3),(5,2),(5,4),(6,5)],7) {{1,2,3},{4},{5},{6},{7}}=>{{1},{2},{3},{4},{5,6,7}}=>[1,2,3,4,6,7,5]=>([(0,5),(3,6),(4,1),(5,3),(6,2),(6,4)],7) {{1,2,4,5,6,7},{3}}=>{{1,2,3,4,6,7},{5}}=>[2,3,4,6,5,7,1]=>([(1,4),(2,6),(3,6),(4,5),(5,2),(5,3)],7) {{1,2,4,5,6},{3,7}}=>{{1,5},{2,3,4,6,7}}=>[5,3,4,6,1,7,2]=>([(0,6),(1,4),(2,3),(2,5),(4,6),(6,5)],7) {{1,2,4,5,6},{3},{7}}=>{{1},{2,3,4,6,7},{5}}=>[1,3,4,6,5,7,2]=>([(0,3),(0,4),(1,6),(2,6),(4,5),(5,1),(5,2)],7) {{1,2,4,5,7},{3,6}}=>{{1,3,4,6,7},{2,5}}=>[3,5,4,6,2,7,1]=>([(1,5),(2,3),(2,4),(3,6),(4,6),(6,5)],7) {{1,2,4,5},{3,6,7}}=>{{1,2,5},{3,4,6,7}}=>[2,5,4,6,1,7,3]=>([(0,2),(0,3),(0,5),(1,4),(1,5),(2,6),(3,6),(6,4)],7) {{1,2,4,5},{3,6},{7}}=>{{1},{2,5},{3,4,6,7}}=>[1,5,4,6,2,7,3]=>([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1),(4,6),(5,6)],7) {{1,2,4,5,7},{3},{6}}=>{{1,3,4,6,7},{2},{5}}=>[3,2,4,6,5,7,1]=>([(1,5),(2,5),(3,6),(4,6),(5,3),(5,4)],7) {{1,2,4,5},{3,7},{6}}=>{{1,5},{2},{3,4,6,7}}=>[5,2,4,6,1,7,3]=>([(0,6),(1,4),(1,5),(2,3),(2,4),(3,6),(6,5)],7) {{1,2,4,5},{3},{6,7}}=>{{1,2},{3,4,6,7},{5}}=>[2,1,4,6,5,7,3]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(6,2),(6,3)],7) {{1,2,4,5},{3},{6},{7}}=>{{1},{2},{3,4,6,7},{5}}=>[1,2,4,6,5,7,3]=>([(0,5),(2,6),(3,6),(4,2),(4,3),(5,1),(5,4)],7) {{1,2,4,6,7},{3,5}}=>{{1,2,4,6,7},{3,5}}=>[2,4,5,6,3,7,1]=>([(1,3),(1,5),(2,6),(3,6),(4,2),(5,4)],7) {{1,2,4,6},{3,5,7}}=>{{1,3,5},{2,4,6,7}}=>[3,4,5,6,1,7,2]=>([(0,5),(1,3),(1,6),(2,6),(4,2),(5,4)],7) {{1,2,4,6},{3,5},{7}}=>{{1},{2,4,6,7},{3,5}}=>[1,4,5,6,3,7,2]=>([(0,2),(0,3),(0,5),(1,6),(3,6),(4,1),(5,4)],7) {{1,2,4,7},{3,5,6}}=>{{1,4,6,7},{2,3,5}}=>[4,3,5,6,2,7,1]=>([(1,6),(2,5),(3,5),(4,6),(5,4)],7) {{1,2,4},{3,5,6,7}}=>{{1,2,3,5},{4,6,7}}=>[2,3,5,6,1,7,4]=>([(0,5),(0,6),(1,4),(2,6),(3,2),(4,3),(4,5)],7) {{1,2,4},{3,5,6},{7}}=>{{1},{2,3,5},{4,6,7}}=>[1,3,5,6,2,7,4]=>([(0,2),(0,4),(1,5),(2,5),(2,6),(3,1),(4,3),(4,6)],7) {{1,2,4,7},{3,5},{6}}=>{{1,4,6,7},{2},{3,5}}=>[4,2,5,6,3,7,1]=>([(1,5),(2,3),(2,5),(3,6),(4,6),(5,4)],7) {{1,2,4},{3,5,7},{6}}=>{{1,3,5},{2},{4,6,7}}=>[3,2,5,6,1,7,4]=>([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,3)],7) {{1,2,4},{3,5},{6,7}}=>{{1,2},{3,5},{4,6,7}}=>[2,1,5,6,3,7,4]=>([(0,5),(0,6),(1,5),(1,6),(3,4),(5,3),(6,2),(6,4)],7) {{1,2,4},{3,5},{6},{7}}=>{{1},{2},{3,5},{4,6,7}}=>[1,2,5,6,3,7,4]=>([(0,5),(2,6),(3,2),(4,1),(4,6),(5,3),(5,4)],7) {{1,2,4,6,7},{3},{5}}=>{{1,2,4,6,7},{3},{5}}=>[2,4,3,6,5,7,1]=>([(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) {{1,2,4,6},{3,7},{5}}=>{{1,5},{2,4,6,7},{3}}=>[5,4,3,6,1,7,2]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(6,5)],7) {{1,2,4,6},{3},{5,7}}=>{{1,3},{2,4,6,7},{5}}=>[3,4,1,6,5,7,2]=>([(0,3),(1,2),(1,5),(1,6),(3,5),(3,6),(5,4),(6,4)],7) {{1,2,4,6},{3},{5},{7}}=>{{1},{2,4,6,7},{3},{5}}=>[1,4,3,6,5,7,2]=>([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) {{1,2,4,7},{3,6},{5}}=>{{1,4,6,7},{2,5},{3}}=>[4,5,3,6,2,7,1]=>([(1,6),(2,5),(3,4),(4,6),(6,5)],7) {{1,2,4},{3,6,7},{5}}=>{{1,2,5},{3},{4,6,7}}=>[2,5,3,6,1,7,4]=>([(0,2),(0,3),(1,4),(1,5),(2,6),(3,5),(3,6),(6,4)],7) {{1,2,4},{3,6},{5,7}}=>{{1,3},{2,5},{4,6,7}}=>[3,5,1,6,2,7,4]=>([(0,3),(0,6),(1,2),(1,5),(2,6),(3,4),(3,5),(6,4)],7) {{1,2,4},{3,6},{5},{7}}=>{{1},{2,5},{3},{4,6,7}}=>[1,5,3,6,2,7,4]=>([(0,1),(0,2),(0,3),(1,5),(2,4),(2,6),(3,4),(3,5),(5,6)],7) {{1,2,4,7},{3},{5,6}}=>{{1,4,6,7},{2,3},{5}}=>[4,3,2,6,5,7,1]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) {{1,2,4},{3,7},{5,6}}=>{{1,5},{2,3},{4,6,7}}=>[5,3,2,6,1,7,4]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(6,4)],7) {{1,2,4},{3},{5,6,7}}=>{{1,2,3},{4,6,7},{5}}=>[2,3,1,6,5,7,4]=>([(0,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7) {{1,2,4},{3},{5,6},{7}}=>{{1},{2,3},{4,6,7},{5}}=>[1,3,2,6,5,7,4]=>([(0,1),(0,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7) {{1,2,4,7},{3},{5},{6}}=>{{1,4,6,7},{2},{3},{5}}=>[4,2,3,6,5,7,1]=>([(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7) {{1,2,4},{3,7},{5},{6}}=>{{1,5},{2},{3},{4,6,7}}=>[5,2,3,6,1,7,4]=>([(0,6),(1,4),(1,5),(2,3),(3,5),(3,6),(6,4)],7) {{1,2,4},{3},{5,7},{6}}=>{{1,3},{2},{4,6,7},{5}}=>[3,2,1,6,5,7,4]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7) {{1,2,4},{3},{5},{6,7}}=>{{1,2},{3},{4,6,7},{5}}=>[2,1,3,6,5,7,4]=>([(0,6),(1,6),(3,5),(4,5),(6,2),(6,3),(6,4)],7) {{1,2,4},{3},{5},{6},{7}}=>{{1},{2},{3},{4,6,7},{5}}=>[1,2,3,6,5,7,4]=>([(0,4),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7) {{1,2,5,6,7},{3,4}}=>{{1,2,3,6,7},{4,5}}=>[2,3,6,5,4,7,1]=>([(1,5),(2,6),(3,6),(4,6),(5,2),(5,3),(5,4)],7) {{1,2,5,6},{3,4,7}}=>{{1,4,5},{2,3,6,7}}=>[4,3,6,5,1,7,2]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,6),(4,6),(5,6)],7) {{1,2,5,6},{3,4},{7}}=>{{1},{2,3,6,7},{4,5}}=>[1,3,6,5,4,7,2]=>([(0,4),(0,5),(1,6),(2,6),(3,6),(5,1),(5,2),(5,3)],7) {{1,2,5,7},{3,4,6}}=>{{1,3,6,7},{2,4,5}}=>[3,4,6,5,2,7,1]=>([(1,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7) {{1,2,5},{3,4,6,7}}=>{{1,2,4,5},{3,6,7}}=>[2,4,6,5,1,7,3]=>([(0,5),(0,6),(1,4),(1,5),(2,6),(3,6),(4,2),(4,3)],7) {{1,2,5},{3,4,6},{7}}=>{{1},{2,4,5},{3,6,7}}=>[1,4,6,5,2,7,3]=>([(0,4),(0,5),(2,6),(3,6),(4,1),(4,6),(5,2),(5,3)],7) {{1,2,5,7},{3,4},{6}}=>{{1,3,6,7},{2},{4,5}}=>[3,2,6,5,4,7,1]=>([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) {{1,2,5},{3,4,7},{6}}=>{{1,4,5},{2},{3,6,7}}=>[4,2,6,5,1,7,3]=>([(0,3),(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7) {{1,2,5},{3,4},{6,7}}=>{{1,2},{3,6,7},{4,5}}=>[2,1,6,5,4,7,3]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) {{1,2,5},{3,4},{6},{7}}=>{{1},{2},{3,6,7},{4,5}}=>[1,2,6,5,4,7,3]=>([(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7) {{1,2,6,7},{3,4,5}}=>{{1,2,6,7},{3,4,5}}=>[2,6,4,5,3,7,1]=>([(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7) {{1,2,6},{3,4,5,7}}=>{{1,3,4,5},{2,6,7}}=>[3,6,4,5,1,7,2]=>([(0,4),(0,6),(1,3),(1,5),(2,6),(3,6),(5,2)],7) {{1,2,6},{3,4,5},{7}}=>{{1},{2,6,7},{3,4,5}}=>[1,6,4,5,3,7,2]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1)],7) {{1,2,7},{3,4,5,6}}=>{{1,6,7},{2,3,4,5}}=>[6,3,4,5,2,7,1]=>([(1,6),(2,6),(3,4),(4,5),(5,6)],7) {{1,2},{3,4,5,6,7}}=>{{1,2,3,4,5},{6,7}}=>[2,3,4,5,1,7,6]=>([(0,5),(0,6),(1,4),(2,5),(2,6),(3,2),(4,3)],7) {{1,2},{3,4,5,6},{7}}=>{{1},{2,3,4,5},{6,7}}=>[1,3,4,5,2,7,6]=>([(0,2),(0,4),(1,5),(1,6),(2,5),(2,6),(3,1),(4,3)],7) {{1,2,7},{3,4,5},{6}}=>{{1,6,7},{2},{3,4,5}}=>[6,2,4,5,3,7,1]=>([(1,6),(2,3),(2,4),(3,5),(4,6),(5,6)],7) {{1,2},{3,4,5,7},{6}}=>{{1,3,4,5},{2},{6,7}}=>[3,2,4,5,1,7,6]=>([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,3)],7) {{1,2},{3,4,5},{6,7}}=>{{1,2},{3,4,5},{6,7}}=>[2,1,4,5,3,7,6]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(5,2),(6,3),(6,4)],7) {{1,2},{3,4,5},{6},{7}}=>{{1},{2},{3,4,5},{6,7}}=>[1,2,4,5,3,7,6]=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,2),(4,1),(4,3)],7) {{1,2,6,7},{3,4},{5}}=>{{1,2,6,7},{3},{4,5}}=>[2,6,3,5,4,7,1]=>([(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7) {{1,2,6},{3,4,7},{5}}=>{{1,4,5},{2,6,7},{3}}=>[4,6,3,5,1,7,2]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6),(5,6)],7) {{1,2,6},{3,4},{5,7}}=>{{1,3},{2,6,7},{4,5}}=>[3,6,1,5,4,7,2]=>([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) {{1,2,6},{3,4},{5},{7}}=>{{1},{2,6,7},{3},{4,5}}=>[1,6,3,5,4,7,2]=>([(0,3),(0,4),(0,5),(1,6),(2,6),(4,6),(5,1),(5,2)],7) {{1,2,7},{3,4,6},{5}}=>{{1,6,7},{2,4,5},{3}}=>[6,4,3,5,2,7,1]=>([(1,6),(2,6),(3,5),(4,5),(5,6)],7) {{1,2},{3,4,6,7},{5}}=>{{1,2,4,5},{3},{6,7}}=>[2,4,3,5,1,7,6]=>([(0,2),(0,3),(1,4),(1,5),(2,6),(3,6),(6,4),(6,5)],7) {{1,2},{3,4,6},{5,7}}=>{{1,3},{2,4,5},{6,7}}=>[3,4,1,5,2,7,6]=>([(0,2),(1,3),(1,6),(2,6),(3,4),(3,5),(6,4),(6,5)],7) {{1,2},{3,4,6},{5},{7}}=>{{1},{2,4,5},{3},{6,7}}=>[1,4,3,5,2,7,6]=>([(0,1),(0,2),(0,3),(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7) {{1,2,7},{3,4},{5,6}}=>{{1,6,7},{2,3},{4,5}}=>[6,3,2,5,4,7,1]=>([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) {{1,2},{3,4,7},{5,6}}=>{{1,4,5},{2,3},{6,7}}=>[4,3,2,5,1,7,6]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(6,4),(6,5)],7) {{1,2},{3,4},{5,6,7}}=>{{1,2,3},{4,5},{6,7}}=>[2,3,1,5,4,7,6]=>([(0,2),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7) {{1,2},{3,4},{5,6},{7}}=>{{1},{2,3},{4,5},{6,7}}=>[1,3,2,5,4,7,6]=>([(0,1),(0,2),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7) {{1,2,7},{3,4},{5},{6}}=>{{1,6,7},{2},{3},{4,5}}=>[6,2,3,5,4,7,1]=>([(1,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7) {{1,2},{3,4,7},{5},{6}}=>{{1,4,5},{2},{3},{6,7}}=>[4,2,3,5,1,7,6]=>([(0,6),(1,4),(1,5),(2,3),(3,6),(6,4),(6,5)],7) {{1,2},{3,4},{5,7},{6}}=>{{1,3},{2},{4,5},{6,7}}=>[3,2,1,5,4,7,6]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7) {{1,2},{3,4},{5},{6,7}}=>{{1,2},{3},{4,5},{6,7}}=>[2,1,3,5,4,7,6]=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(6,2),(6,3)],7) {{1,2},{3,4},{5},{6},{7}}=>{{1},{2},{3},{4,5},{6,7}}=>[1,2,3,5,4,7,6]=>([(0,3),(1,5),(1,6),(2,5),(2,6),(3,4),(4,1),(4,2)],7) {{1,2,5,6,7},{3},{4}}=>{{1,2,3,6,7},{4},{5}}=>[2,3,6,4,5,7,1]=>([(1,5),(2,6),(3,6),(4,3),(5,2),(5,4)],7) {{1,2,5,6},{3,7},{4}}=>{{1,5},{2,3,6,7},{4}}=>[5,3,6,4,1,7,2]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6),(5,6)],7) {{1,2,5,6},{3},{4,7}}=>{{1,4},{2,3,6,7},{5}}=>[4,3,6,1,5,7,2]=>([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(4,5),(6,5)],7) {{1,2,5,6},{3},{4},{7}}=>{{1},{2,3,6,7},{4},{5}}=>[1,3,6,4,5,7,2]=>([(0,3),(0,5),(1,6),(2,6),(4,2),(5,1),(5,4)],7) {{1,2,5,7},{3,6},{4}}=>{{1,3,6,7},{2,5},{4}}=>[3,5,6,4,2,7,1]=>([(1,6),(2,3),(2,4),(3,5),(4,6),(5,6)],7) {{1,2,5},{3,6,7},{4}}=>{{1,2,5},{3,6,7},{4}}=>[2,5,6,4,1,7,3]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(2,6),(3,6),(4,2)],7) {{1,2,5},{3,6},{4,7}}=>{{1,4},{2,5},{3,6,7}}=>[4,5,6,1,2,7,3]=>([(0,5),(1,4),(3,6),(4,3),(5,2),(5,6)],7) {{1,2,5},{3,6},{4},{7}}=>{{1},{2,5},{3,6,7},{4}}=>[1,5,6,4,2,7,3]=>([(0,3),(0,4),(0,5),(2,6),(3,6),(4,2),(5,1),(5,6)],7) {{1,2,5,7},{3},{4,6}}=>{{1,3,6,7},{2,4},{5}}=>[3,4,6,2,5,7,1]=>([(1,6),(2,3),(3,4),(3,6),(4,5),(6,5)],7) {{1,2,5},{3,7},{4,6}}=>{{1,5},{2,4},{3,6,7}}=>[5,4,6,2,1,7,3]=>([(0,5),(1,5),(2,4),(2,6),(3,4),(3,6),(5,6)],7) {{1,2,5},{3},{4,6,7}}=>{{1,2,4},{3,6,7},{5}}=>[2,4,6,1,5,7,3]=>([(0,3),(0,5),(1,5),(1,6),(2,4),(3,2),(3,6),(6,4)],7) {{1,2,5},{3},{4,6},{7}}=>{{1},{2,4},{3,6,7},{5}}=>[1,4,6,2,5,7,3]=>([(0,3),(0,4),(2,6),(3,1),(3,5),(4,2),(4,5),(5,6)],7) {{1,2,5,7},{3},{4},{6}}=>{{1,3,6,7},{2},{4},{5}}=>[3,2,6,4,5,7,1]=>([(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7) {{1,2,5},{3,7},{4},{6}}=>{{1,5},{2},{3,6,7},{4}}=>[5,2,6,4,1,7,3]=>([(0,5),(1,4),(1,6),(2,3),(2,4),(2,5),(3,6),(5,6)],7) {{1,2,5},{3},{4,7},{6}}=>{{1,4},{2},{3,6,7},{5}}=>[4,2,6,1,5,7,3]=>([(0,3),(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7) {{1,2,5},{3},{4},{6,7}}=>{{1,2},{3,6,7},{4},{5}}=>[2,1,6,4,5,7,3]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(5,2),(6,3)],7) {{1,2,5},{3},{4},{6},{7}}=>{{1},{2},{3,6,7},{4},{5}}=>[1,2,6,4,5,7,3]=>([(0,5),(2,6),(3,6),(4,3),(5,1),(5,2),(5,4)],7) {{1,2,6,7},{3,5},{4}}=>{{1,2,6,7},{3,5},{4}}=>[2,6,5,4,3,7,1]=>([(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) {{1,2,6},{3,5,7},{4}}=>{{1,3,5},{2,6,7},{4}}=>[3,6,5,4,1,7,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,6)],7) {{1,2,6},{3,5},{4,7}}=>{{1,4},{2,6,7},{3,5}}=>[4,6,5,1,3,7,2]=>([(0,3),(0,4),(1,2),(1,5),(3,6),(4,6),(5,6)],7) {{1,2,6},{3,5},{4},{7}}=>{{1},{2,6,7},{3,5},{4}}=>[1,6,5,4,3,7,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6)],7) {{1,2,7},{3,5,6},{4}}=>{{1,6,7},{2,3,5},{4}}=>[6,3,5,4,2,7,1]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) {{1,2},{3,5,6,7},{4}}=>{{1,2,3,5},{4},{6,7}}=>[2,3,5,4,1,7,6]=>([(0,5),(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2),(4,3)],7) {{1,2},{3,5,6},{4,7}}=>{{1,4},{2,3,5},{6,7}}=>[4,3,5,1,2,7,6]=>([(0,4),(1,4),(2,3),(3,5),(3,6),(4,5),(4,6)],7) {{1,2},{3,5,6},{4},{7}}=>{{1},{2,3,5},{4},{6,7}}=>[1,3,5,4,2,7,6]=>([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2)],7) {{1,2,7},{3,5},{4,6}}=>{{1,6,7},{2,4},{3,5}}=>[6,4,5,2,3,7,1]=>([(1,6),(2,5),(3,4),(4,6),(5,6)],7) {{1,2},{3,5,7},{4,6}}=>{{1,3,5},{2,4},{6,7}}=>[3,4,5,2,1,7,6]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(4,5),(4,6)],7) {{1,2},{3,5},{4,6,7}}=>{{1,2,4},{3,5},{6,7}}=>[2,4,5,1,3,7,6]=>([(0,6),(1,2),(1,6),(2,3),(3,4),(3,5),(6,4),(6,5)],7) {{1,2},{3,5},{4,6},{7}}=>{{1},{2,4},{3,5},{6,7}}=>[1,4,5,2,3,7,6]=>([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,2),(4,1)],7) {{1,2,7},{3,5},{4},{6}}=>{{1,6,7},{2},{3,5},{4}}=>[6,2,5,4,3,7,1]=>([(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) {{1,2},{3,5,7},{4},{6}}=>{{1,3,5},{2},{4},{6,7}}=>[3,2,5,4,1,7,6]=>([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) {{1,2},{3,5},{4,7},{6}}=>{{1,4},{2},{3,5},{6,7}}=>[4,2,5,1,3,7,6]=>([(0,6),(1,5),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7) {{1,2},{3,5},{4},{6,7}}=>{{1,2},{3,5},{4},{6,7}}=>[2,1,5,4,3,7,6]=>([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) {{1,2},{3,5},{4},{6},{7}}=>{{1},{2},{3,5},{4},{6,7}}=>[1,2,5,4,3,7,6]=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7) {{1,2,6,7},{3},{4,5}}=>{{1,2,6,7},{3,4},{5}}=>[2,6,4,3,5,7,1]=>([(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(5,6)],7) {{1,2,6},{3,7},{4,5}}=>{{1,5},{2,6,7},{3,4}}=>[5,6,4,3,1,7,2]=>([(0,6),(1,6),(2,5),(3,4),(3,6),(5,6)],7) {{1,2,6},{3},{4,5,7}}=>{{1,3,4},{2,6,7},{5}}=>[3,6,4,1,5,7,2]=>([(0,4),(0,6),(1,2),(1,3),(2,6),(3,5),(6,5)],7) {{1,2,6},{3},{4,5},{7}}=>{{1},{2,6,7},{3,4},{5}}=>[1,6,4,3,5,7,2]=>([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6)],7) {{1,2,7},{3,6},{4,5}}=>{{1,6,7},{2,5},{3,4}}=>[6,5,4,3,2,7,1]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7) {{1,2},{3,6,7},{4,5}}=>{{1,2,5},{3,4},{6,7}}=>[2,5,4,3,1,7,6]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) {{1,2},{3,6},{4,5,7}}=>{{1,3,4},{2,5},{6,7}}=>[3,5,4,1,2,7,6]=>([(0,4),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) {{1,2},{3,6},{4,5},{7}}=>{{1},{2,5},{3,4},{6,7}}=>[1,5,4,3,2,7,6]=>([(0,1),(0,2),(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) {{1,2,7},{3},{4,5,6}}=>{{1,6,7},{2,3,4},{5}}=>[6,3,4,2,5,7,1]=>([(1,6),(2,5),(3,4),(4,6),(6,5)],7) {{1,2},{3,7},{4,5,6}}=>{{1,5},{2,3,4},{6,7}}=>[5,3,4,2,1,7,6]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7) {{1,2},{3},{4,5,6,7}}=>{{1,2,3,4},{5},{6,7}}=>[2,3,4,1,5,7,6]=>([(0,6),(1,5),(2,6),(5,2),(6,3),(6,4)],7) {{1,2},{3},{4,5,6},{7}}=>{{1},{2,3,4},{5},{6,7}}=>[1,3,4,2,5,7,6]=>([(0,4),(0,5),(1,6),(4,6),(5,1),(6,2),(6,3)],7) {{1,2,7},{3},{4,5},{6}}=>{{1,6,7},{2},{3,4},{5}}=>[6,2,4,3,5,7,1]=>([(1,5),(2,3),(2,4),(3,6),(4,6),(6,5)],7) {{1,2},{3,7},{4,5},{6}}=>{{1,5},{2},{3,4},{6,7}}=>[5,2,4,3,1,7,6]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) {{1,2},{3},{4,5,7},{6}}=>{{1,3,4},{2},{5},{6,7}}=>[3,2,4,1,5,7,6]=>([(0,6),(1,5),(2,5),(5,6),(6,3),(6,4)],7) {{1,2},{3},{4,5},{6,7}}=>{{1,2},{3,4},{5},{6,7}}=>[2,1,4,3,5,7,6]=>([(0,5),(0,6),(1,5),(1,6),(4,2),(4,3),(5,4),(6,4)],7) {{1,2},{3},{4,5},{6},{7}}=>{{1},{2},{3,4},{5},{6,7}}=>[1,2,4,3,5,7,6]=>([(0,5),(1,6),(2,6),(5,1),(5,2),(6,3),(6,4)],7) {{1,2,6,7},{3},{4},{5}}=>{{1,2,6,7},{3},{4},{5}}=>[2,6,3,4,5,7,1]=>([(1,3),(1,5),(2,6),(3,6),(4,2),(5,4)],7) {{1,2,6},{3,7},{4},{5}}=>{{1,5},{2,6,7},{3},{4}}=>[5,6,3,4,1,7,2]=>([(0,5),(1,4),(2,3),(2,6),(4,6),(5,6)],7) {{1,2,6},{3},{4,7},{5}}=>{{1,4},{2,6,7},{3},{5}}=>[4,6,3,1,5,7,2]=>([(0,6),(1,3),(1,6),(2,4),(2,6),(4,5),(6,5)],7) {{1,2,6},{3},{4},{5,7}}=>{{1,3},{2,6,7},{4},{5}}=>[3,6,1,4,5,7,2]=>([(0,3),(0,6),(1,4),(1,6),(2,5),(4,5),(6,2)],7) {{1,2,6},{3},{4},{5},{7}}=>{{1},{2,6,7},{3},{4},{5}}=>[1,6,3,4,5,7,2]=>([(0,2),(0,3),(0,5),(1,6),(3,6),(4,1),(5,4)],7) {{1,2,7},{3,6},{4},{5}}=>{{1,6,7},{2,5},{3},{4}}=>[6,5,3,4,2,7,1]=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7) {{1,2},{3,6,7},{4},{5}}=>{{1,2,5},{3},{4},{6,7}}=>[2,5,3,4,1,7,6]=>([(0,5),(0,6),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2)],7) {{1,2},{3,6},{4,7},{5}}=>{{1,4},{2,5},{3},{6,7}}=>[4,5,3,1,2,7,6]=>([(0,5),(0,6),(1,4),(2,3),(3,5),(3,6),(4,5),(4,6)],7) {{1,2},{3,6},{4},{5,7}}=>{{1,3},{2,5},{4},{6,7}}=>[3,5,1,4,2,7,6]=>([(0,3),(0,4),(1,2),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) {{1,2},{3,6},{4},{5},{7}}=>{{1},{2,5},{3},{4},{6,7}}=>[1,5,3,4,2,7,6]=>([(0,2),(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1)],7) {{1,2,7},{3},{4,6},{5}}=>{{1,6,7},{2,4},{3},{5}}=>[6,4,3,2,5,7,1]=>([(1,6),(2,6),(3,6),(4,5),(6,5)],7) {{1,2},{3,7},{4,6},{5}}=>{{1,5},{2,4},{3},{6,7}}=>[5,4,3,2,1,7,6]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) {{1,2},{3},{4,6,7},{5}}=>{{1,2,4},{3},{5},{6,7}}=>[2,4,3,1,5,7,6]=>([(0,6),(1,2),(1,3),(2,6),(3,6),(6,4),(6,5)],7) {{1,2},{3},{4,6},{5,7}}=>{{1,3},{2,4},{5},{6,7}}=>[3,4,1,2,5,7,6]=>([(0,5),(1,4),(4,6),(5,6),(6,2),(6,3)],7) {{1,2},{3},{4,6},{5},{7}}=>{{1},{2,4},{3},{5},{6,7}}=>[1,4,3,2,5,7,6]=>([(0,3),(0,4),(0,5),(3,6),(4,6),(5,6),(6,1),(6,2)],7) {{1,2,7},{3},{4},{5,6}}=>{{1,6,7},{2,3},{4},{5}}=>[6,3,2,4,5,7,1]=>([(1,6),(2,5),(3,5),(4,6),(5,4)],7) {{1,2},{3,7},{4},{5,6}}=>{{1,5},{2,3},{4},{6,7}}=>[5,3,2,4,1,7,6]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7) {{1,2},{3},{4,7},{5,6}}=>{{1,4},{2,3},{5},{6,7}}=>[4,3,2,1,5,7,6]=>([(0,6),(1,6),(2,6),(3,6),(6,4),(6,5)],7) {{1,2},{3},{4},{5,6,7}}=>{{1,2,3},{4},{5},{6,7}}=>[2,3,1,4,5,7,6]=>([(0,6),(1,4),(4,6),(5,2),(5,3),(6,5)],7) {{1,2},{3},{4},{5,6},{7}}=>{{1},{2,3},{4},{5},{6,7}}=>[1,3,2,4,5,7,6]=>([(0,3),(0,4),(3,6),(4,6),(5,1),(5,2),(6,5)],7) {{1,2,7},{3},{4},{5},{6}}=>{{1,6,7},{2},{3},{4},{5}}=>[6,2,3,4,5,7,1]=>([(1,3),(2,6),(3,5),(4,6),(5,4)],7) {{1,2},{3,7},{4},{5},{6}}=>{{1,5},{2},{3},{4},{6,7}}=>[5,2,3,4,1,7,6]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(4,5),(4,6)],7) {{1,2},{3},{4,7},{5},{6}}=>{{1,4},{2},{3},{5},{6,7}}=>[4,2,3,1,5,7,6]=>([(0,6),(1,6),(2,3),(3,6),(6,4),(6,5)],7) {{1,2},{3},{4},{5,7},{6}}=>{{1,3},{2},{4},{5},{6,7}}=>[3,2,1,4,5,7,6]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(6,3)],7) {{1,2},{3},{4},{5},{6,7}}=>{{1,2},{3},{4},{5},{6,7}}=>[2,1,3,4,5,7,6]=>([(0,6),(1,6),(4,5),(5,2),(5,3),(6,4)],7) {{1,2},{3},{4},{5},{6},{7}}=>{{1},{2},{3},{4},{5},{6,7}}=>[1,2,3,4,5,7,6]=>([(0,5),(3,4),(4,6),(5,3),(6,1),(6,2)],7) {{1,3,4,5,6,7},{2}}=>{{1,2,3,4,5,7},{6}}=>[2,3,4,5,7,6,1]=>([(1,5),(4,6),(5,4),(6,2),(6,3)],7) {{1,3,4,5,6},{2,7}}=>{{1,6},{2,3,4,5,7}}=>[6,3,4,5,7,1,2]=>([(0,6),(1,3),(2,4),(4,5),(5,6)],7) {{1,3,4,5,6},{2},{7}}=>{{1},{2,3,4,5,7},{6}}=>[1,3,4,5,7,6,2]=>([(0,3),(0,5),(4,6),(5,4),(6,1),(6,2)],7) {{1,3,4,5,7},{2,6}}=>{{1,3,4,5,7},{2,6}}=>[3,6,4,5,7,2,1]=>([(2,3),(2,4),(3,5),(4,6),(5,6)],7) {{1,3,4,5},{2,6,7}}=>{{1,2,6},{3,4,5,7}}=>[2,6,4,5,7,1,3]=>([(0,6),(1,3),(1,4),(1,6),(2,5),(3,5),(4,2)],7) {{1,3,4,5},{2,6},{7}}=>{{1},{2,6},{3,4,5,7}}=>[1,6,4,5,7,2,3]=>([(0,3),(0,4),(0,5),(2,6),(3,6),(4,1),(5,2)],7) {{1,3,4,5,7},{2},{6}}=>{{1,3,4,5,7},{2},{6}}=>[3,2,4,5,7,6,1]=>([(1,6),(2,6),(3,4),(3,5),(6,3)],7) {{1,3,4,5},{2,7},{6}}=>{{1,6},{2},{3,4,5,7}}=>[6,2,4,5,7,1,3]=>([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7) {{1,3,4,5},{2},{6,7}}=>{{1,2},{3,4,5,7},{6}}=>[2,1,4,5,7,6,3]=>([(0,5),(0,6),(1,5),(1,6),(4,2),(4,3),(6,4)],7) {{1,3,4,5},{2},{6},{7}}=>{{1},{2},{3,4,5,7},{6}}=>[1,2,4,5,7,6,3]=>([(0,6),(4,5),(5,2),(5,3),(6,1),(6,4)],7) {{1,3,4,6,7},{2,5}}=>{{1,2,4,5,7},{3,6}}=>[2,4,6,5,7,3,1]=>([(1,2),(1,5),(3,6),(4,6),(5,3),(5,4)],7) {{1,3,4,6},{2,5,7}}=>{{1,3,6},{2,4,5,7}}=>[3,4,6,5,7,1,2]=>([(0,4),(1,5),(2,6),(3,6),(5,2),(5,3)],7) {{1,3,4,6},{2,5},{7}}=>{{1},{2,4,5,7},{3,6}}=>[1,4,6,5,7,3,2]=>([(0,3),(0,4),(0,5),(1,6),(2,6),(5,1),(5,2)],7) {{1,3,4,7},{2,5,6}}=>{{1,4,5,7},{2,3,6}}=>[4,3,6,5,7,2,1]=>([(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) {{1,3,4},{2,5,6,7}}=>{{1,2,3,6},{4,5,7}}=>[2,3,6,5,7,1,4]=>([(0,6),(1,4),(2,5),(3,5),(4,2),(4,3),(4,6)],7) {{1,3,4},{2,5,6},{7}}=>{{1},{2,3,6},{4,5,7}}=>[1,3,6,5,7,2,4]=>([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(4,6)],7) {{1,3,4,7},{2,5},{6}}=>{{1,4,5,7},{2},{3,6}}=>[4,2,6,5,7,3,1]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7) {{1,3,4},{2,5,7},{6}}=>{{1,3,6},{2},{4,5,7}}=>[3,2,6,5,7,1,4]=>([(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7) {{1,3,4},{2,5},{6,7}}=>{{1,2},{3,6},{4,5,7}}=>[2,1,6,5,7,3,4]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(4,2),(5,3),(6,3)],7) {{1,3,4},{2,5},{6},{7}}=>{{1},{2},{3,6},{4,5,7}}=>[1,2,6,5,7,3,4]=>([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(5,4)],7) {{1,3,4,6,7},{2},{5}}=>{{1,2,4,5,7},{3},{6}}=>[2,4,3,5,7,6,1]=>([(1,2),(1,3),(2,6),(3,6),(6,4),(6,5)],7) {{1,3,4,6},{2,7},{5}}=>{{1,6},{2,4,5,7},{3}}=>[6,4,3,5,7,1,2]=>([(0,6),(1,5),(2,5),(3,4),(5,6)],7) {{1,3,4,6},{2},{5,7}}=>{{1,3},{2,4,5,7},{6}}=>[3,4,1,5,7,6,2]=>([(0,5),(1,4),(1,6),(5,6),(6,2),(6,3)],7) {{1,3,4,6},{2},{5},{7}}=>{{1},{2,4,5,7},{3},{6}}=>[1,4,3,5,7,6,2]=>([(0,3),(0,4),(0,5),(4,6),(5,6),(6,1),(6,2)],7) {{1,3,4,7},{2,6},{5}}=>{{1,4,5,7},{2,6},{3}}=>[4,6,3,5,7,2,1]=>([(2,5),(3,4),(3,5),(4,6),(5,6)],7) {{1,3,4},{2,6,7},{5}}=>{{1,2,6},{3},{4,5,7}}=>[2,6,3,5,7,1,4]=>([(0,6),(1,3),(1,4),(2,5),(3,5),(4,2),(4,6)],7) {{1,3,4},{2,6},{5,7}}=>{{1,3},{2,6},{4,5,7}}=>[3,6,1,5,7,2,4]=>([(0,3),(0,6),(1,2),(1,4),(1,6),(2,5),(3,4),(6,5)],7) {{1,3,4},{2,6},{5},{7}}=>{{1},{2,6},{3},{4,5,7}}=>[1,6,3,5,7,2,4]=>([(0,2),(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,6)],7) {{1,3,4,7},{2},{5,6}}=>{{1,4,5,7},{2,3},{6}}=>[4,3,2,5,7,6,1]=>([(1,6),(2,6),(3,6),(6,4),(6,5)],7) {{1,3,4},{2,7},{5,6}}=>{{1,6},{2,3},{4,5,7}}=>[6,3,2,5,7,1,4]=>([(0,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) {{1,3,4},{2},{5,6,7}}=>{{1,2,3},{4,5,7},{6}}=>[2,3,1,5,7,6,4]=>([(0,5),(0,6),(1,4),(4,5),(4,6),(6,2),(6,3)],7) {{1,3,4},{2},{5,6},{7}}=>{{1},{2,3},{4,5,7},{6}}=>[1,3,2,5,7,6,4]=>([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1),(6,2)],7) {{1,3,4,7},{2},{5},{6}}=>{{1,4,5,7},{2},{3},{6}}=>[4,2,3,5,7,6,1]=>([(1,6),(2,3),(3,6),(6,4),(6,5)],7) {{1,3,4},{2,7},{5},{6}}=>{{1,6},{2},{3},{4,5,7}}=>[6,2,3,5,7,1,4]=>([(0,6),(1,5),(2,3),(3,4),(3,6),(4,5)],7) {{1,3,4},{2},{5,7},{6}}=>{{1,3},{2},{4,5,7},{6}}=>[3,2,1,5,7,6,4]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7) {{1,3,4},{2},{5},{6,7}}=>{{1,2},{3},{4,5,7},{6}}=>[2,1,3,5,7,6,4]=>([(0,6),(1,6),(5,2),(5,3),(6,4),(6,5)],7) {{1,3,4},{2},{5},{6},{7}}=>{{1},{2},{3},{4,5,7},{6}}=>[1,2,3,5,7,6,4]=>([(0,4),(4,6),(5,2),(5,3),(6,1),(6,5)],7) {{1,3,5,6,7},{2,4}}=>{{1,2,3,5,7},{4,6}}=>[2,3,5,6,7,4,1]=>([(1,6),(4,5),(5,3),(6,2),(6,4)],7) {{1,3,5,6},{2,4,7}}=>{{1,4,6},{2,3,5,7}}=>[4,3,5,6,7,1,2]=>([(0,6),(1,6),(2,3),(4,5),(6,4)],7) {{1,3,5,6},{2,4},{7}}=>{{1},{2,3,5,7},{4,6}}=>[1,3,5,6,7,4,2]=>([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) {{1,3,5,7},{2,4,6}}=>{{1,3,5,7},{2,4,6}}=>[3,4,5,6,7,2,1]=>([(2,6),(4,5),(5,3),(6,4)],7) {{1,3,5},{2,4,6,7}}=>{{1,2,4,6},{3,5,7}}=>[2,4,5,6,7,1,3]=>([(0,6),(1,5),(1,6),(3,4),(4,2),(5,3)],7) {{1,3,5},{2,4,6},{7}}=>{{1},{2,4,6},{3,5,7}}=>[1,4,5,6,7,2,3]=>([(0,5),(0,6),(3,4),(4,2),(5,3),(6,1)],7) {{1,3,5,7},{2,4},{6}}=>{{1,3,5,7},{2},{4,6}}=>[3,2,5,6,7,4,1]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7) {{1,3,5},{2,4,7},{6}}=>{{1,4,6},{2},{3,5,7}}=>[4,2,5,6,7,1,3]=>([(0,6),(1,5),(2,5),(2,6),(3,4),(6,3)],7) {{1,3,5},{2,4},{6,7}}=>{{1,2},{3,5,7},{4,6}}=>[2,1,5,6,7,4,3]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(6,2)],7) {{1,3,5},{2,4},{6},{7}}=>{{1},{2},{3,5,7},{4,6}}=>[1,2,5,6,7,4,3]=>([(0,6),(4,5),(5,3),(6,1),(6,2),(6,4)],7) {{1,3,6,7},{2,4,5}}=>{{1,2,5,7},{3,4,6}}=>[2,5,4,6,7,3,1]=>([(1,2),(1,3),(1,4),(3,6),(4,6),(6,5)],7) {{1,3,6},{2,4,5,7}}=>{{1,3,4,6},{2,5,7}}=>[3,5,4,6,7,1,2]=>([(0,5),(1,2),(1,3),(2,6),(3,6),(6,4)],7) {{1,3,6},{2,4,5},{7}}=>{{1},{2,5,7},{3,4,6}}=>[1,5,4,6,7,3,2]=>([(0,2),(0,3),(0,4),(0,5),(4,6),(5,6),(6,1)],7) {{1,3,7},{2,4,5,6}}=>{{1,5,7},{2,3,4,6}}=>[5,3,4,6,7,2,1]=>([(2,6),(3,4),(4,6),(6,5)],7) {{1,3},{2,4,5,6,7}}=>{{1,2,3,4,6},{5,7}}=>[2,3,4,6,7,1,5]=>([(0,6),(1,4),(3,2),(4,5),(5,3),(5,6)],7) {{1,3},{2,4,5,6},{7}}=>{{1},{2,3,4,6},{5,7}}=>[1,3,4,6,7,2,5]=>([(0,2),(0,5),(2,6),(3,1),(4,3),(4,6),(5,4)],7) {{1,3,7},{2,4,5},{6}}=>{{1,5,7},{2},{3,4,6}}=>[5,2,4,6,7,3,1]=>([(1,6),(2,3),(2,4),(4,6),(6,5)],7) {{1,3},{2,4,5,7},{6}}=>{{1,3,4,6},{2},{5,7}}=>[3,2,4,6,7,1,5]=>([(0,6),(1,6),(2,5),(3,4),(6,3),(6,5)],7) {{1,3},{2,4,5},{6,7}}=>{{1,2},{3,4,6},{5,7}}=>[2,1,4,6,7,3,5]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(5,4),(6,2),(6,4)],7) {{1,3},{2,4,5},{6},{7}}=>{{1},{2},{3,4,6},{5,7}}=>[1,2,4,6,7,3,5]=>([(0,5),(2,6),(3,1),(4,3),(4,6),(5,2),(5,4)],7) {{1,3,6,7},{2,4},{5}}=>{{1,2,5,7},{3},{4,6}}=>[2,5,3,6,7,4,1]=>([(1,3),(1,5),(3,6),(5,2),(5,6),(6,4)],7) {{1,3,6},{2,4,7},{5}}=>{{1,4,6},{2,5,7},{3}}=>[4,5,3,6,7,1,2]=>([(0,6),(1,3),(2,4),(4,6),(6,5)],7) {{1,3,6},{2,4},{5,7}}=>{{1,3},{2,5,7},{4,6}}=>[3,5,1,6,7,4,2]=>([(0,4),(0,5),(1,3),(1,5),(1,6),(4,6),(6,2)],7) {{1,3,6},{2,4},{5},{7}}=>{{1},{2,5,7},{3},{4,6}}=>[1,5,3,6,7,4,2]=>([(0,3),(0,4),(0,5),(4,6),(5,1),(5,6),(6,2)],7) {{1,3,7},{2,4,6},{5}}=>{{1,5,7},{2,4,6},{3}}=>[5,4,3,6,7,2,1]=>([(2,6),(3,6),(4,6),(6,5)],7) {{1,3},{2,4,6,7},{5}}=>{{1,2,4,6},{3},{5,7}}=>[2,4,3,6,7,1,5]=>([(0,6),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4)],7) {{1,3},{2,4,6},{5,7}}=>{{1,3},{2,4,6},{5,7}}=>[3,4,1,6,7,2,5]=>([(0,4),(1,3),(1,6),(3,5),(4,5),(4,6),(6,2)],7) {{1,3},{2,4,6},{5},{7}}=>{{1},{2,4,6},{3},{5,7}}=>[1,4,3,6,7,2,5]=>([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,1)],7) {{1,3,7},{2,4},{5,6}}=>{{1,5,7},{2,3},{4,6}}=>[5,3,2,6,7,4,1]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) {{1,3},{2,4,7},{5,6}}=>{{1,4,6},{2,3},{5,7}}=>[4,3,2,6,7,1,5]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7) {{1,3},{2,4},{5,6,7}}=>{{1,2,3},{4,6},{5,7}}=>[2,3,1,6,7,4,5]=>([(0,5),(0,6),(1,2),(2,5),(2,6),(5,4),(6,3)],7) {{1,3},{2,4},{5,6},{7}}=>{{1},{2,3},{4,6},{5,7}}=>[1,3,2,6,7,4,5]=>([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(5,2),(6,1)],7) {{1,3,7},{2,4},{5},{6}}=>{{1,5,7},{2},{3},{4,6}}=>[5,2,3,6,7,4,1]=>([(1,6),(2,3),(3,5),(3,6),(6,4)],7) {{1,3},{2,4,7},{5},{6}}=>{{1,4,6},{2},{3},{5,7}}=>[4,2,3,6,7,1,5]=>([(0,6),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4)],7) {{1,3},{2,4},{5,7},{6}}=>{{1,3},{2},{4,6},{5,7}}=>[3,2,1,6,7,4,5]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7) {{1,3},{2,4},{5},{6,7}}=>{{1,2},{3},{4,6},{5,7}}=>[2,1,3,6,7,4,5]=>([(0,6),(1,6),(4,3),(5,2),(6,4),(6,5)],7) {{1,3},{2,4},{5},{6},{7}}=>{{1},{2},{3},{4,6},{5,7}}=>[1,2,3,6,7,4,5]=>([(0,5),(3,2),(4,1),(5,6),(6,3),(6,4)],7) {{1,3,5,6,7},{2},{4}}=>{{1,2,3,5,7},{4},{6}}=>[2,3,5,4,7,6,1]=>([(1,4),(2,5),(2,6),(3,5),(3,6),(4,2),(4,3)],7) {{1,3,5,6},{2,7},{4}}=>{{1,6},{2,3,5,7},{4}}=>[6,3,5,4,7,1,2]=>([(0,6),(1,3),(2,4),(2,5),(4,6),(5,6)],7) {{1,3,5,6},{2},{4,7}}=>{{1,4},{2,3,5,7},{6}}=>[4,3,5,1,7,6,2]=>([(0,4),(1,4),(2,3),(2,5),(2,6),(4,5),(4,6)],7) {{1,3,5,6},{2},{4},{7}}=>{{1},{2,3,5,7},{4},{6}}=>[1,3,5,4,7,6,2]=>([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(4,1),(4,2)],7) {{1,3,5,7},{2,6},{4}}=>{{1,3,5,7},{2,6},{4}}=>[3,6,5,4,7,2,1]=>([(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) {{1,3,5},{2,6,7},{4}}=>{{1,2,6},{3,5,7},{4}}=>[2,6,5,4,7,1,3]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6)],7) {{1,3,5},{2,6},{4,7}}=>{{1,4},{2,6},{3,5,7}}=>[4,6,5,1,7,2,3]=>([(0,5),(0,6),(1,3),(1,4),(3,6),(4,6),(5,2)],7) {{1,3,5},{2,6},{4},{7}}=>{{1},{2,6},{3,5,7},{4}}=>[1,6,5,4,7,2,3]=>([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1)],7) {{1,3,5,7},{2},{4,6}}=>{{1,3,5,7},{2,4},{6}}=>[3,4,5,2,7,6,1]=>([(1,5),(1,6),(2,3),(3,4),(4,5),(4,6)],7) {{1,3,5},{2,7},{4,6}}=>{{1,6},{2,4},{3,5,7}}=>[6,4,5,2,7,1,3]=>([(0,6),(1,5),(2,5),(2,6),(3,4),(4,6)],7) {{1,3,5},{2},{4,6,7}}=>{{1,2,4},{3,5,7},{6}}=>[2,4,5,1,7,6,3]=>([(0,2),(0,6),(1,4),(1,5),(1,6),(2,3),(3,4),(3,5)],7) {{1,3,5},{2},{4,6},{7}}=>{{1},{2,4},{3,5,7},{6}}=>[1,4,5,2,7,6,3]=>([(0,3),(0,4),(2,5),(2,6),(3,2),(4,1),(4,5),(4,6)],7) {{1,3,5,7},{2},{4},{6}}=>{{1,3,5,7},{2},{4},{6}}=>[3,2,5,4,7,6,1]=>([(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7) {{1,3,5},{2,7},{4},{6}}=>{{1,6},{2},{3,5,7},{4}}=>[6,2,5,4,7,1,3]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6)],7) {{1,3,5},{2},{4,7},{6}}=>{{1,4},{2},{3,5,7},{6}}=>[4,2,5,1,7,6,3]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4)],7) {{1,3,5},{2},{4},{6,7}}=>{{1,2},{3,5,7},{4},{6}}=>[2,1,5,4,7,6,3]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(5,2),(5,3),(6,2),(6,3)],7) {{1,3,5},{2},{4},{6},{7}}=>{{1},{2},{3,5,7},{4},{6}}=>[1,2,5,4,7,6,3]=>([(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7) {{1,3,6,7},{2,5},{4}}=>{{1,2,5,7},{3,6},{4}}=>[2,5,6,4,7,3,1]=>([(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7) {{1,3,6},{2,5,7},{4}}=>{{1,3,6},{2,5,7},{4}}=>[3,5,6,4,7,1,2]=>([(0,4),(1,3),(1,5),(2,6),(3,6),(5,2)],7) {{1,3,6},{2,5},{4,7}}=>{{1,4},{2,5,7},{3,6}}=>[4,5,6,1,7,3,2]=>([(0,5),(1,2),(1,3),(1,6),(4,6),(5,4)],7) {{1,3,6},{2,5},{4},{7}}=>{{1},{2,5,7},{3,6},{4}}=>[1,5,6,4,7,3,2]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(4,6),(5,1)],7) {{1,3,7},{2,5,6},{4}}=>{{1,5,7},{2,3,6},{4}}=>[5,3,6,4,7,2,1]=>([(2,5),(3,4),(3,5),(4,6),(5,6)],7) {{1,3},{2,5,6,7},{4}}=>{{1,2,3,6},{4},{5,7}}=>[2,3,6,4,7,1,5]=>([(0,6),(1,4),(2,5),(3,5),(3,6),(4,2),(4,3)],7) {{1,3},{2,5,6},{4,7}}=>{{1,4},{2,3,6},{5,7}}=>[4,3,6,1,7,2,5]=>([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(3,6),(4,5)],7) {{1,3},{2,5,6},{4},{7}}=>{{1},{2,3,6},{4},{5,7}}=>[1,3,6,4,7,2,5]=>([(0,3),(0,4),(1,5),(2,5),(2,6),(3,6),(4,1),(4,2)],7) {{1,3,7},{2,5},{4,6}}=>{{1,5,7},{2,4},{3,6}}=>[5,4,6,2,7,3,1]=>([(1,5),(2,5),(3,4),(3,6),(5,6)],7) {{1,3},{2,5,7},{4,6}}=>{{1,3,6},{2,4},{5,7}}=>[3,4,6,2,7,1,5]=>([(0,6),(1,5),(1,6),(2,3),(3,4),(3,6),(4,5)],7) {{1,3},{2,5},{4,6,7}}=>{{1,2,4},{3,6},{5,7}}=>[2,4,6,1,7,3,5]=>([(0,3),(0,6),(1,5),(1,6),(2,5),(3,2),(3,4),(6,4)],7) {{1,3},{2,5},{4,6},{7}}=>{{1},{2,4},{3,6},{5,7}}=>[1,4,6,2,7,3,5]=>([(0,3),(0,4),(1,6),(2,5),(3,2),(3,6),(4,1),(4,5)],7) {{1,3,7},{2,5},{4},{6}}=>{{1,5,7},{2},{3,6},{4}}=>[5,2,6,4,7,3,1]=>([(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7) {{1,3},{2,5,7},{4},{6}}=>{{1,3,6},{2},{4},{5,7}}=>[3,2,6,4,7,1,5]=>([(0,4),(1,5),(1,6),(2,5),(2,6),(5,3),(6,3),(6,4)],7) {{1,3},{2,5},{4,7},{6}}=>{{1,4},{2},{3,6},{5,7}}=>[4,2,6,1,7,3,5]=>([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(5,4),(6,3)],7) {{1,3},{2,5},{4},{6,7}}=>{{1,2},{3,6},{4},{5,7}}=>[2,1,6,4,7,3,5]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(4,3),(5,2),(6,2),(6,3)],7) {{1,3},{2,5},{4},{6},{7}}=>{{1},{2},{3,6},{4},{5,7}}=>[1,2,6,4,7,3,5]=>([(0,4),(1,6),(2,5),(3,5),(3,6),(4,1),(4,2),(4,3)],7) {{1,3,6,7},{2},{4,5}}=>{{1,2,5,7},{3,4},{6}}=>[2,5,4,3,7,6,1]=>([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) {{1,3,6},{2,7},{4,5}}=>{{1,6},{2,5,7},{3,4}}=>[6,5,4,3,7,1,2]=>([(0,6),(1,6),(2,6),(3,6),(4,5)],7) {{1,3,6},{2},{4,5,7}}=>{{1,3,4},{2,5,7},{6}}=>[3,5,4,1,7,6,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6)],7) {{1,3,6},{2},{4,5},{7}}=>{{1},{2,5,7},{3,4},{6}}=>[1,5,4,3,7,6,2]=>([(0,1),(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) {{1,3,7},{2,6},{4,5}}=>{{1,5,7},{2,6},{3,4}}=>[5,6,4,3,7,2,1]=>([(2,6),(3,6),(4,5),(5,6)],7) {{1,3},{2,6,7},{4,5}}=>{{1,2,6},{3,4},{5,7}}=>[2,6,4,3,7,1,5]=>([(0,6),(1,2),(1,3),(1,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7) {{1,3},{2,6},{4,5,7}}=>{{1,3,4},{2,6},{5,7}}=>[3,6,4,1,7,2,5]=>([(0,4),(0,6),(1,2),(1,3),(2,6),(3,5),(3,6),(4,5)],7) {{1,3},{2,6},{4,5},{7}}=>{{1},{2,6},{3,4},{5,7}}=>[1,6,4,3,7,2,5]=>([(0,1),(0,2),(0,3),(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) {{1,3,7},{2},{4,5,6}}=>{{1,5,7},{2,3,4},{6}}=>[5,3,4,2,7,6,1]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7) {{1,3},{2,7},{4,5,6}}=>{{1,6},{2,3,4},{5,7}}=>[6,3,4,2,7,1,5]=>([(0,6),(1,5),(2,5),(2,6),(3,4),(4,5),(4,6)],7) {{1,3},{2},{4,5,6,7}}=>{{1,2,3,4},{5,7},{6}}=>[2,3,4,1,7,6,5]=>([(0,2),(1,4),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7) {{1,3},{2},{4,5,6},{7}}=>{{1},{2,3,4},{5,7},{6}}=>[1,3,4,2,7,6,5]=>([(0,2),(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,1)],7) {{1,3,7},{2},{4,5},{6}}=>{{1,5,7},{2},{3,4},{6}}=>[5,2,4,3,7,6,1]=>([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) {{1,3},{2,7},{4,5},{6}}=>{{1,6},{2},{3,4},{5,7}}=>[6,2,4,3,7,1,5]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) {{1,3},{2},{4,5,7},{6}}=>{{1,3,4},{2},{5,7},{6}}=>[3,2,4,1,7,6,5]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],7) {{1,3},{2},{4,5},{6,7}}=>{{1,2},{3,4},{5,7},{6}}=>[2,1,4,3,7,6,5]=>([(0,5),(0,6),(1,5),(1,6),(5,2),(5,3),(5,4),(6,2),(6,3),(6,4)],7) {{1,3},{2},{4,5},{6},{7}}=>{{1},{2},{3,4},{5,7},{6}}=>[1,2,4,3,7,6,5]=>([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,1),(3,2)],7) {{1,3,6,7},{2},{4},{5}}=>{{1,2,5,7},{3},{4},{6}}=>[2,5,3,4,7,6,1]=>([(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2)],7) {{1,3,6},{2,7},{4},{5}}=>{{1,6},{2,5,7},{3},{4}}=>[6,5,3,4,7,1,2]=>([(0,6),(1,6),(2,4),(3,5),(5,6)],7) {{1,3,6},{2},{4,7},{5}}=>{{1,4},{2,5,7},{3},{6}}=>[4,5,3,1,7,6,2]=>([(0,5),(0,6),(1,4),(2,3),(2,5),(2,6),(4,5),(4,6)],7) {{1,3,6},{2},{4},{5,7}}=>{{1,3},{2,5,7},{4},{6}}=>[3,5,1,4,7,6,2]=>([(0,3),(0,6),(1,2),(1,6),(3,4),(3,5),(6,4),(6,5)],7) {{1,3,6},{2},{4},{5},{7}}=>{{1},{2,5,7},{3},{4},{6}}=>[1,5,3,4,7,6,2]=>([(0,2),(0,3),(0,4),(1,5),(1,6),(3,5),(3,6),(4,1)],7) {{1,3,7},{2,6},{4},{5}}=>{{1,5,7},{2,6},{3},{4}}=>[5,6,3,4,7,2,1]=>([(2,5),(3,4),(4,6),(5,6)],7) {{1,3},{2,6,7},{4},{5}}=>{{1,2,6},{3},{4},{5,7}}=>[2,6,3,4,7,1,5]=>([(0,6),(1,3),(1,4),(2,5),(2,6),(3,5),(4,2)],7) {{1,3},{2,6},{4,7},{5}}=>{{1,4},{2,6},{3},{5,7}}=>[4,6,3,1,7,2,5]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5),(3,6),(4,5)],7) {{1,3},{2,6},{4},{5,7}}=>{{1,3},{2,6},{4},{5,7}}=>[3,6,1,4,7,2,5]=>([(0,3),(0,6),(1,2),(1,6),(2,4),(3,5),(6,4),(6,5)],7) {{1,3},{2,6},{4},{5},{7}}=>{{1},{2,6},{3},{4},{5,7}}=>[1,6,3,4,7,2,5]=>([(0,2),(0,3),(0,4),(1,5),(1,6),(2,6),(3,5),(4,1)],7) {{1,3,7},{2},{4,6},{5}}=>{{1,5,7},{2,4},{3},{6}}=>[5,4,3,2,7,6,1]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) {{1,3},{2,7},{4,6},{5}}=>{{1,6},{2,4},{3},{5,7}}=>[6,4,3,2,7,1,5]=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) {{1,3},{2},{4,6,7},{5}}=>{{1,2,4},{3},{5,7},{6}}=>[2,4,3,1,7,6,5]=>([(0,2),(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) {{1,3},{2},{4,6},{5,7}}=>{{1,3},{2,4},{5,7},{6}}=>[3,4,1,2,7,6,5]=>([(0,3),(1,2),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) {{1,3},{2},{4,6},{5},{7}}=>{{1},{2,4},{3},{5,7},{6}}=>[1,4,3,2,7,6,5]=>([(0,1),(0,2),(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) {{1,3,7},{2},{4},{5,6}}=>{{1,5,7},{2,3},{4},{6}}=>[5,3,2,4,7,6,1]=>([(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7) {{1,3},{2,7},{4},{5,6}}=>{{1,6},{2,3},{4},{5,7}}=>[6,3,2,4,7,1,5]=>([(0,4),(1,4),(2,6),(3,5),(4,5),(4,6)],7) {{1,3},{2},{4,7},{5,6}}=>{{1,4},{2,3},{5,7},{6}}=>[4,3,2,1,7,6,5]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) {{1,3},{2},{4},{5,6,7}}=>{{1,2,3},{4},{5,7},{6}}=>[2,3,1,4,7,6,5]=>([(0,6),(1,2),(2,6),(6,3),(6,4),(6,5)],7) {{1,3},{2},{4},{5,6},{7}}=>{{1},{2,3},{4},{5,7},{6}}=>[1,3,2,4,7,6,5]=>([(0,4),(0,5),(4,6),(5,6),(6,1),(6,2),(6,3)],7) {{1,3,7},{2},{4},{5},{6}}=>{{1,5,7},{2},{3},{4},{6}}=>[5,2,3,4,7,6,1]=>([(1,5),(1,6),(2,3),(3,4),(4,5),(4,6)],7) {{1,3},{2,7},{4},{5},{6}}=>{{1,6},{2},{3},{4},{5,7}}=>[6,2,3,4,7,1,5]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(4,6)],7) {{1,3},{2},{4,7},{5},{6}}=>{{1,4},{2},{3},{5,7},{6}}=>[4,2,3,1,7,6,5]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7) {{1,3},{2},{4},{5,7},{6}}=>{{1,3},{2},{4},{5,7},{6}}=>[3,2,1,4,7,6,5]=>([(0,6),(1,6),(2,6),(6,3),(6,4),(6,5)],7) {{1,3},{2},{4},{5},{6,7}}=>{{1,2},{3},{4},{5,7},{6}}=>[2,1,3,4,7,6,5]=>([(0,6),(1,6),(5,2),(5,3),(5,4),(6,5)],7) {{1,3},{2},{4},{5},{6},{7}}=>{{1},{2},{3},{4},{5,7},{6}}=>[1,2,3,4,7,6,5]=>([(0,5),(4,6),(5,4),(6,1),(6,2),(6,3)],7) {{1,4,5,6,7},{2,3}}=>{{1,2,3,4,7},{5,6}}=>[2,3,4,7,6,5,1]=>([(1,5),(5,6),(6,2),(6,3),(6,4)],7) {{1,4,5,6},{2,3,7}}=>{{1,5,6},{2,3,4,7}}=>[5,3,4,7,6,1,2]=>([(0,5),(0,6),(1,3),(2,4),(4,5),(4,6)],7) {{1,4,5,6},{2,3},{7}}=>{{1},{2,3,4,7},{5,6}}=>[1,3,4,7,6,5,2]=>([(0,4),(0,5),(5,6),(6,1),(6,2),(6,3)],7) {{1,4,5,7},{2,3,6}}=>{{1,3,4,7},{2,5,6}}=>[3,5,4,7,6,2,1]=>([(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) {{1,4,5},{2,3,6,7}}=>{{1,2,5,6},{3,4,7}}=>[2,5,4,7,6,1,3]=>([(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5)],7) {{1,4,5},{2,3,6},{7}}=>{{1},{2,5,6},{3,4,7}}=>[1,5,4,7,6,2,3]=>([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1)],7) {{1,4,5,7},{2,3},{6}}=>{{1,3,4,7},{2},{5,6}}=>[3,2,4,7,6,5,1]=>([(1,6),(2,6),(6,3),(6,4),(6,5)],7) {{1,4,5},{2,3,7},{6}}=>{{1,5,6},{2},{3,4,7}}=>[5,2,4,7,6,1,3]=>([(0,4),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6)],7) {{1,4,5},{2,3},{6,7}}=>{{1,2},{3,4,7},{5,6}}=>[2,1,4,7,6,5,3]=>([(0,5),(0,6),(1,5),(1,6),(6,2),(6,3),(6,4)],7) {{1,4,5},{2,3},{6},{7}}=>{{1},{2},{3,4,7},{5,6}}=>[1,2,4,7,6,5,3]=>([(0,5),(5,4),(5,6),(6,1),(6,2),(6,3)],7) {{1,4,6,7},{2,3,5}}=>{{1,2,4,7},{3,5,6}}=>[2,4,5,7,6,3,1]=>([(1,4),(1,5),(5,6),(6,2),(6,3)],7) {{1,4,6},{2,3,5,7}}=>{{1,3,5,6},{2,4,7}}=>[3,4,5,7,6,1,2]=>([(0,4),(1,5),(5,6),(6,2),(6,3)],7) {{1,4,6},{2,3,5},{7}}=>{{1},{2,4,7},{3,5,6}}=>[1,4,5,7,6,3,2]=>([(0,3),(0,4),(0,5),(5,6),(6,1),(6,2)],7) {{1,4,7},{2,3,5,6}}=>{{1,4,7},{2,3,5,6}}=>[4,3,5,7,6,2,1]=>([(2,6),(3,6),(6,4),(6,5)],7) {{1,4},{2,3,5,6,7}}=>{{1,2,3,5,6},{4,7}}=>[2,3,5,7,6,1,4]=>([(0,6),(1,4),(4,5),(4,6),(5,2),(5,3)],7) {{1,4},{2,3,5,6},{7}}=>{{1},{2,3,5,6},{4,7}}=>[1,3,5,7,6,2,4]=>([(0,3),(0,4),(3,6),(4,5),(4,6),(5,1),(5,2)],7) {{1,4,7},{2,3,5},{6}}=>{{1,4,7},{2},{3,5,6}}=>[4,2,5,7,6,3,1]=>([(1,6),(2,3),(2,6),(6,4),(6,5)],7) {{1,4},{2,3,5,7},{6}}=>{{1,3,5,6},{2},{4,7}}=>[3,2,5,7,6,1,4]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4)],7) {{1,4},{2,3,5},{6,7}}=>{{1,2},{3,5,6},{4,7}}=>[2,1,5,7,6,3,4]=>([(0,5),(0,6),(1,5),(1,6),(5,4),(6,2),(6,3)],7) {{1,4},{2,3,5},{6},{7}}=>{{1},{2},{3,5,6},{4,7}}=>[1,2,5,7,6,3,4]=>([(0,6),(4,3),(5,1),(5,2),(6,4),(6,5)],7) {{1,4,6,7},{2,3},{5}}=>{{1,2,4,7},{3},{5,6}}=>[2,4,3,7,6,5,1]=>([(1,2),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) {{1,4,6},{2,3,7},{5}}=>{{1,5,6},{2,4,7},{3}}=>[5,4,3,7,6,1,2]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4)],7) {{1,4,6},{2,3},{5,7}}=>{{1,3},{2,4,7},{5,6}}=>[3,4,1,7,6,5,2]=>([(0,3),(1,2),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6)],7) {{1,4,6},{2,3},{5},{7}}=>{{1},{2,4,7},{3},{5,6}}=>[1,4,3,7,6,5,2]=>([(0,1),(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) {{1,4,7},{2,3,6},{5}}=>{{1,4,7},{2,5,6},{3}}=>[4,5,3,7,6,2,1]=>([(2,5),(2,6),(3,4),(4,5),(4,6)],7) {{1,4},{2,3,6,7},{5}}=>{{1,2,5,6},{3},{4,7}}=>[2,5,3,7,6,1,4]=>([(0,2),(0,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) {{1,4},{2,3,6},{5,7}}=>{{1,3},{2,5,6},{4,7}}=>[3,5,1,7,6,2,4]=>([(0,3),(0,6),(1,2),(1,4),(1,5),(2,6),(3,4),(3,5)],7) {{1,4},{2,3,6},{5},{7}}=>{{1},{2,5,6},{3},{4,7}}=>[1,5,3,7,6,2,4]=>([(0,1),(0,2),(0,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) {{1,4,7},{2,3},{5,6}}=>{{1,4,7},{2,3},{5,6}}=>[4,3,2,7,6,5,1]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) {{1,4},{2,3,7},{5,6}}=>{{1,5,6},{2,3},{4,7}}=>[5,3,2,7,6,1,4]=>([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) {{1,4},{2,3},{5,6,7}}=>{{1,2,3},{4,7},{5,6}}=>[2,3,1,7,6,5,4]=>([(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) {{1,4},{2,3},{5,6},{7}}=>{{1},{2,3},{4,7},{5,6}}=>[1,3,2,7,6,5,4]=>([(0,1),(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) {{1,4,7},{2,3},{5},{6}}=>{{1,4,7},{2},{3},{5,6}}=>[4,2,3,7,6,5,1]=>([(1,4),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7) {{1,4},{2,3,7},{5},{6}}=>{{1,5,6},{2},{3},{4,7}}=>[5,2,3,7,6,1,4]=>([(0,4),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7) {{1,4},{2,3},{5,7},{6}}=>{{1,3},{2},{4,7},{5,6}}=>[3,2,1,7,6,5,4]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) {{1,4},{2,3},{5},{6,7}}=>{{1,2},{3},{4,7},{5,6}}=>[2,1,3,7,6,5,4]=>([(0,6),(1,6),(6,2),(6,3),(6,4),(6,5)],7) {{1,4},{2,3},{5},{6},{7}}=>{{1},{2},{3},{4,7},{5,6}}=>[1,2,3,7,6,5,4]=>([(0,5),(5,6),(6,1),(6,2),(6,3),(6,4)],7) {{1,5,6,7},{2,3,4}}=>{{1,2,3,7},{4,5,6}}=>[2,3,7,5,6,4,1]=>([(1,6),(5,4),(6,2),(6,3),(6,5)],7) {{1,5,6},{2,3,4,7}}=>{{1,4,5,6},{2,3,7}}=>[4,3,7,5,6,1,2]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(6,3)],7) {{1,5,6},{2,3,4},{7}}=>{{1},{2,3,7},{4,5,6}}=>[1,3,7,5,6,4,2]=>([(0,4),(0,6),(5,3),(6,1),(6,2),(6,5)],7) {{1,5,7},{2,3,4,6}}=>{{1,3,7},{2,4,5,6}}=>[3,4,7,5,6,2,1]=>([(2,6),(5,4),(6,3),(6,5)],7) {{1,5},{2,3,4,6,7}}=>{{1,2,4,5,6},{3,7}}=>[2,4,7,5,6,1,3]=>([(0,6),(1,5),(1,6),(4,3),(5,2),(5,4)],7) {{1,5},{2,3,4,6},{7}}=>{{1},{2,4,5,6},{3,7}}=>[1,4,7,5,6,2,3]=>([(0,5),(0,6),(4,3),(5,1),(6,2),(6,4)],7) {{1,5,7},{2,3,4},{6}}=>{{1,3,7},{2},{4,5,6}}=>[3,2,7,5,6,4,1]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7) {{1,5},{2,3,4,7},{6}}=>{{1,4,5,6},{2},{3,7}}=>[4,2,7,5,6,1,3]=>([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7) {{1,5},{2,3,4},{6,7}}=>{{1,2},{3,7},{4,5,6}}=>[2,1,7,5,6,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(6,2)],7) {{1,5},{2,3,4},{6},{7}}=>{{1},{2},{3,7},{4,5,6}}=>[1,2,7,5,6,4,3]=>([(0,6),(5,4),(6,1),(6,2),(6,3),(6,5)],7) {{1,6,7},{2,3,4,5}}=>{{1,2,7},{3,4,5,6}}=>[2,7,4,5,6,3,1]=>([(1,3),(1,4),(1,6),(5,2),(6,5)],7) {{1,6},{2,3,4,5,7}}=>{{1,3,4,5,6},{2,7}}=>[3,7,4,5,6,1,2]=>([(0,4),(1,3),(1,6),(5,2),(6,5)],7) {{1,6},{2,3,4,5},{7}}=>{{1},{2,7},{3,4,5,6}}=>[1,7,4,5,6,3,2]=>([(0,2),(0,3),(0,4),(0,6),(5,1),(6,5)],7) {{1,7},{2,3,4,5,6}}=>{{1,7},{2,3,4,5,6}}=>[7,3,4,5,6,2,1]=>([(3,4),(4,6),(6,5)],7) {{1},{2,3,4,5,6,7}}=>{{1,2,3,4,5,6},{7}}=>[2,3,4,5,6,1,7]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7) {{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}=>[1,3,4,5,6,2,7]=>([(0,2),(0,5),(1,6),(2,6),(3,4),(4,1),(5,3)],7) {{1,7},{2,3,4,5},{6}}=>{{1,7},{2},{3,4,5,6}}=>[7,2,4,5,6,3,1]=>([(2,4),(2,6),(5,3),(6,5)],7) {{1},{2,3,4,5,7},{6}}=>{{1,3,4,5,6},{2},{7}}=>[3,2,4,5,6,1,7]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7) {{1},{2,3,4,5},{6,7}}=>{{1,2},{3,4,5,6},{7}}=>[2,1,4,5,6,3,7]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(5,2),(6,4)],7) {{1},{2,3,4,5},{6},{7}}=>{{1},{2},{3,4,5,6},{7}}=>[1,2,4,5,6,3,7]=>([(0,5),(1,6),(2,6),(3,4),(4,2),(5,1),(5,3)],7) {{1,6,7},{2,3,4},{5}}=>{{1,2,7},{3},{4,5,6}}=>[2,7,3,5,6,4,1]=>([(1,4),(1,6),(5,3),(6,2),(6,5)],7) {{1,6},{2,3,4,7},{5}}=>{{1,4,5,6},{2,7},{3}}=>[4,7,3,5,6,1,2]=>([(0,6),(1,3),(2,4),(2,6),(6,5)],7) {{1,6},{2,3,4},{5,7}}=>{{1,3},{2,7},{4,5,6}}=>[3,7,1,5,6,4,2]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(6,2)],7) {{1,6},{2,3,4},{5},{7}}=>{{1},{2,7},{3},{4,5,6}}=>[1,7,3,5,6,4,2]=>([(0,3),(0,4),(0,6),(5,2),(6,1),(6,5)],7) {{1,7},{2,3,4,6},{5}}=>{{1,7},{2,4,5,6},{3}}=>[7,4,3,5,6,2,1]=>([(3,6),(4,6),(6,5)],7) {{1},{2,3,4,6,7},{5}}=>{{1,2,4,5,6},{3},{7}}=>[2,4,3,5,6,1,7]=>([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(6,4)],7) {{1},{2,3,4,6},{5,7}}=>{{1,3},{2,4,5,6},{7}}=>[3,4,1,5,6,2,7]=>([(0,3),(1,4),(1,6),(2,5),(3,6),(4,5),(6,2)],7) {{1},{2,3,4,6},{5},{7}}=>{{1},{2,4,5,6},{3},{7}}=>[1,4,3,5,6,2,7]=>([(0,2),(0,3),(0,4),(1,5),(2,6),(3,6),(4,5),(6,1)],7) {{1,7},{2,3,4},{5,6}}=>{{1,7},{2,3},{4,5,6}}=>[7,3,2,5,6,4,1]=>([(2,5),(2,6),(3,5),(3,6),(6,4)],7) {{1},{2,3,4,7},{5,6}}=>{{1,4,5,6},{2,3},{7}}=>[4,3,2,5,6,1,7]=>([(0,6),(1,6),(2,6),(3,5),(4,5),(6,4)],7) {{1},{2,3,4},{5,6,7}}=>{{1,2,3},{4,5,6},{7}}=>[2,3,1,5,6,4,7]=>([(0,3),(1,4),(1,6),(2,5),(3,4),(3,6),(4,2),(6,5)],7) {{1},{2,3,4},{5,6},{7}}=>{{1},{2,3},{4,5,6},{7}}=>[1,3,2,5,6,4,7]=>([(0,2),(0,3),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(6,1)],7) {{1,7},{2,3,4},{5},{6}}=>{{1,7},{2},{3},{4,5,6}}=>[7,2,3,5,6,4,1]=>([(2,6),(5,4),(6,3),(6,5)],7) {{1},{2,3,4,7},{5},{6}}=>{{1,4,5,6},{2},{3},{7}}=>[4,2,3,5,6,1,7]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7) {{1},{2,3,4},{5,7},{6}}=>{{1,3},{2},{4,5,6},{7}}=>[3,2,1,5,6,4,7]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(5,4),(6,3)],7) {{1},{2,3,4},{5},{6,7}}=>{{1,2},{3},{4,5,6},{7}}=>[2,1,3,5,6,4,7]=>([(0,6),(1,6),(2,5),(3,5),(4,3),(6,2),(6,4)],7) {{1},{2,3,4},{5},{6},{7}}=>{{1},{2},{3},{4,5,6},{7}}=>[1,2,3,5,6,4,7]=>([(0,4),(1,6),(2,6),(3,2),(4,5),(5,1),(5,3)],7) {{1,5,6,7},{2,3},{4}}=>{{1,2,3,7},{4},{5,6}}=>[2,3,7,4,6,5,1]=>([(1,6),(5,3),(5,4),(6,2),(6,5)],7) {{1,5,6},{2,3,7},{4}}=>{{1,5,6},{2,3,7},{4}}=>[5,3,7,4,6,1,2]=>([(0,5),(0,6),(1,3),(2,4),(2,5),(4,6)],7) {{1,5,6},{2,3},{4,7}}=>{{1,4},{2,3,7},{5,6}}=>[4,3,7,1,6,5,2]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7) {{1,5,6},{2,3},{4},{7}}=>{{1},{2,3,7},{4},{5,6}}=>[1,3,7,4,6,5,2]=>([(0,4),(0,6),(5,2),(5,3),(6,1),(6,5)],7) {{1,5,7},{2,3,6},{4}}=>{{1,3,7},{2,5,6},{4}}=>[3,5,7,4,6,2,1]=>([(2,3),(2,4),(3,6),(4,5),(4,6)],7) {{1,5},{2,3,6,7},{4}}=>{{1,2,5,6},{3,7},{4}}=>[2,5,7,4,6,1,3]=>([(0,6),(1,3),(1,4),(1,6),(3,5),(4,2),(4,5)],7) {{1,5},{2,3,6},{4,7}}=>{{1,4},{2,5,6},{3,7}}=>[4,5,7,1,6,2,3]=>([(0,5),(1,4),(1,6),(4,3),(5,2),(5,6)],7) {{1,5},{2,3,6},{4},{7}}=>{{1},{2,5,6},{3,7},{4}}=>[1,5,7,4,6,2,3]=>([(0,3),(0,4),(0,5),(3,6),(4,2),(5,1),(5,6)],7) {{1,5,7},{2,3},{4,6}}=>{{1,3,7},{2,4},{5,6}}=>[3,4,7,2,6,5,1]=>([(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7) {{1,5},{2,3,7},{4,6}}=>{{1,5,6},{2,4},{3,7}}=>[5,4,7,2,6,1,3]=>([(0,5),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6)],7) {{1,5},{2,3},{4,6,7}}=>{{1,2,4},{3,7},{5,6}}=>[2,4,7,1,6,5,3]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(3,2),(3,4),(3,5)],7) {{1,5},{2,3},{4,6},{7}}=>{{1},{2,4},{3,7},{5,6}}=>[1,4,7,2,6,5,3]=>([(0,3),(0,4),(3,2),(3,5),(3,6),(4,1),(4,5),(4,6)],7) {{1,5,7},{2,3},{4},{6}}=>{{1,3,7},{2},{4},{5,6}}=>[3,2,7,4,6,5,1]=>([(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7) {{1,5},{2,3,7},{4},{6}}=>{{1,5,6},{2},{3,7},{4}}=>[5,2,7,4,6,1,3]=>([(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6)],7) {{1,5},{2,3},{4,7},{6}}=>{{1,4},{2},{3,7},{5,6}}=>[4,2,7,1,6,5,3]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) {{1,5},{2,3},{4},{6,7}}=>{{1,2},{3,7},{4},{5,6}}=>[2,1,7,4,6,5,3]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(6,2),(6,3)],7) {{1,5},{2,3},{4},{6},{7}}=>{{1},{2},{3,7},{4},{5,6}}=>[1,2,7,4,6,5,3]=>([(0,6),(5,3),(5,4),(6,1),(6,2),(6,5)],7) {{1,6,7},{2,3,5},{4}}=>{{1,2,7},{3,5,6},{4}}=>[2,7,5,4,6,3,1]=>([(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7) {{1,6},{2,3,5,7},{4}}=>{{1,3,5,6},{2,7},{4}}=>[3,7,5,4,6,1,2]=>([(0,5),(1,2),(1,3),(1,4),(3,6),(4,6)],7) {{1,6},{2,3,5},{4,7}}=>{{1,4},{2,7},{3,5,6}}=>[4,7,5,1,6,3,2]=>([(0,2),(0,5),(1,3),(1,4),(1,6),(5,6)],7) {{1,6},{2,3,5},{4},{7}}=>{{1},{2,7},{3,5,6},{4}}=>[1,7,5,4,6,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7) {{1,7},{2,3,5,6},{4}}=>{{1,7},{2,3,5,6},{4}}=>[7,3,5,4,6,2,1]=>([(3,4),(3,5),(4,6),(5,6)],7) {{1},{2,3,5,6,7},{4}}=>{{1,2,3,5,6},{4},{7}}=>[2,3,5,4,6,1,7]=>([(0,6),(1,4),(2,5),(3,5),(4,2),(4,3),(5,6)],7) {{1},{2,3,5,6},{4,7}}=>{{1,4},{2,3,5,6},{7}}=>[4,3,5,1,6,2,7]=>([(0,4),(1,4),(2,3),(2,5),(3,6),(4,5),(5,6)],7) {{1},{2,3,5,6},{4},{7}}=>{{1},{2,3,5,6},{4},{7}}=>[1,3,5,4,6,2,7]=>([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(5,6)],7) {{1,7},{2,3,5},{4,6}}=>{{1,7},{2,4},{3,5,6}}=>[7,4,5,2,6,3,1]=>([(2,5),(3,4),(3,6),(5,6)],7) {{1},{2,3,5,7},{4,6}}=>{{1,3,5,6},{2,4},{7}}=>[3,4,5,2,6,1,7]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7) {{1},{2,3,5},{4,6,7}}=>{{1,2,4},{3,5,6},{7}}=>[2,4,5,1,6,3,7]=>([(0,2),(0,6),(1,5),(1,6),(2,3),(3,5),(5,4),(6,4)],7) {{1},{2,3,5},{4,6},{7}}=>{{1},{2,4},{3,5,6},{7}}=>[1,4,5,2,6,3,7]=>([(0,3),(0,4),(1,6),(2,5),(3,2),(4,1),(4,5),(5,6)],7) {{1,7},{2,3,5},{4},{6}}=>{{1,7},{2},{3,5,6},{4}}=>[7,2,5,4,6,3,1]=>([(2,3),(2,4),(2,5),(4,6),(5,6)],7) {{1},{2,3,5,7},{4},{6}}=>{{1,3,5,6},{2},{4},{7}}=>[3,2,5,4,6,1,7]=>([(0,3),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,4)],7) {{1},{2,3,5},{4,7},{6}}=>{{1,4},{2},{3,5,6},{7}}=>[4,2,5,1,6,3,7]=>([(0,5),(1,4),(1,6),(2,5),(2,6),(4,3),(5,4),(6,3)],7) {{1},{2,3,5},{4},{6,7}}=>{{1,2},{3,5,6},{4},{7}}=>[2,1,5,4,6,3,7]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(3,2),(4,3),(5,3),(6,2)],7) {{1},{2,3,5},{4},{6},{7}}=>{{1},{2},{3,5,6},{4},{7}}=>[1,2,5,4,6,3,7]=>([(0,4),(1,6),(2,5),(3,5),(4,1),(4,2),(4,3),(5,6)],7) {{1,6,7},{2,3},{4,5}}=>{{1,2,7},{3,4},{5,6}}=>[2,7,4,3,6,5,1]=>([(1,2),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6)],7) {{1,6},{2,3,7},{4,5}}=>{{1,5,6},{2,7},{3,4}}=>[5,7,4,3,6,1,2]=>([(0,6),(1,6),(2,5),(3,4),(3,6)],7) {{1,6},{2,3},{4,5,7}}=>{{1,3,4},{2,7},{5,6}}=>[3,7,4,1,6,5,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(3,5),(3,6)],7) {{1,6},{2,3},{4,5},{7}}=>{{1},{2,7},{3,4},{5,6}}=>[1,7,4,3,6,5,2]=>([(0,1),(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6)],7) {{1,7},{2,3,6},{4,5}}=>{{1,7},{2,5,6},{3,4}}=>[7,5,4,3,6,2,1]=>([(3,6),(4,6),(5,6)],7) {{1},{2,3,6,7},{4,5}}=>{{1,2,5,6},{3,4},{7}}=>[2,5,4,3,6,1,7]=>([(0,5),(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7) {{1},{2,3,6},{4,5,7}}=>{{1,3,4},{2,5,6},{7}}=>[3,5,4,1,6,2,7]=>([(0,4),(0,6),(1,2),(1,3),(2,6),(3,6),(4,5),(6,5)],7) {{1},{2,3,6},{4,5},{7}}=>{{1},{2,5,6},{3,4},{7}}=>[1,5,4,3,6,2,7]=>([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(6,5)],7) {{1,7},{2,3},{4,5,6}}=>{{1,7},{2,3,4},{5,6}}=>[7,3,4,2,6,5,1]=>([(2,5),(2,6),(3,4),(4,5),(4,6)],7) {{1},{2,3,7},{4,5,6}}=>{{1,5,6},{2,3,4},{7}}=>[5,3,4,2,6,1,7]=>([(0,6),(1,6),(2,5),(3,4),(4,6),(6,5)],7) {{1},{2,3},{4,5,6,7}}=>{{1,2,3,4},{5,6},{7}}=>[2,3,4,1,6,5,7]=>([(0,2),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7) {{1},{2,3},{4,5,6},{7}}=>{{1},{2,3,4},{5,6},{7}}=>[1,3,4,2,6,5,7]=>([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(4,6),(5,6)],7) {{1,7},{2,3},{4,5},{6}}=>{{1,7},{2},{3,4},{5,6}}=>[7,2,4,3,6,5,1]=>([(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) {{1},{2,3,7},{4,5},{6}}=>{{1,5,6},{2},{3,4},{7}}=>[5,2,4,3,6,1,7]=>([(0,6),(1,5),(2,3),(2,4),(3,6),(4,6),(6,5)],7) {{1},{2,3},{4,5,7},{6}}=>{{1,3,4},{2},{5,6},{7}}=>[3,2,4,1,6,5,7]=>([(0,6),(1,6),(2,4),(2,5),(4,3),(5,3),(6,4),(6,5)],7) {{1},{2,3},{4,5},{6,7}}=>{{1,2},{3,4},{5,6},{7}}=>[2,1,4,3,6,5,7]=>([(0,5),(0,6),(1,5),(1,6),(3,2),(4,2),(5,3),(5,4),(6,3),(6,4)],7) {{1},{2,3},{4,5},{6},{7}}=>{{1},{2},{3,4},{5,6},{7}}=>[1,2,4,3,6,5,7]=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(3,2),(4,6),(5,6)],7) {{1,6,7},{2,3},{4},{5}}=>{{1,2,7},{3},{4},{5,6}}=>[2,7,3,4,6,5,1]=>([(1,4),(1,5),(5,6),(6,2),(6,3)],7) {{1,6},{2,3,7},{4},{5}}=>{{1,5,6},{2,7},{3},{4}}=>[5,7,3,4,6,1,2]=>([(0,3),(1,5),(2,4),(2,6),(5,6)],7) {{1,6},{2,3},{4,7},{5}}=>{{1,4},{2,7},{3},{5,6}}=>[4,7,3,1,6,5,2]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7) {{1,6},{2,3},{4},{5,7}}=>{{1,3},{2,7},{4},{5,6}}=>[3,7,1,4,6,5,2]=>([(0,5),(0,6),(1,4),(1,6),(6,2),(6,3)],7) {{1,6},{2,3},{4},{5},{7}}=>{{1},{2,7},{3},{4},{5,6}}=>[1,7,3,4,6,5,2]=>([(0,3),(0,4),(0,5),(5,6),(6,1),(6,2)],7) {{1,7},{2,3,6},{4},{5}}=>{{1,7},{2,5,6},{3},{4}}=>[7,5,3,4,6,2,1]=>([(3,6),(4,5),(5,6)],7) {{1},{2,3,6,7},{4},{5}}=>{{1,2,5,6},{3},{4},{7}}=>[2,5,3,4,6,1,7]=>([(0,6),(1,3),(1,4),(2,5),(3,5),(4,2),(5,6)],7) {{1},{2,3,6},{4,7},{5}}=>{{1,4},{2,5,6},{3},{7}}=>[4,5,3,1,6,2,7]=>([(0,6),(1,3),(2,4),(2,6),(3,6),(4,5),(6,5)],7) {{1},{2,3,6},{4},{5,7}}=>{{1,3},{2,5,6},{4},{7}}=>[3,5,1,4,6,2,7]=>([(0,2),(0,6),(1,3),(1,6),(2,5),(3,4),(5,4),(6,5)],7) {{1},{2,3,6},{4},{5},{7}}=>{{1},{2,5,6},{3},{4},{7}}=>[1,5,3,4,6,2,7]=>([(0,2),(0,3),(0,4),(1,5),(2,6),(3,5),(4,1),(5,6)],7) {{1,7},{2,3},{4,6},{5}}=>{{1,7},{2,4},{3},{5,6}}=>[7,4,3,2,6,5,1]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) {{1},{2,3,7},{4,6},{5}}=>{{1,5,6},{2,4},{3},{7}}=>[5,4,3,2,6,1,7]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7) {{1},{2,3},{4,6,7},{5}}=>{{1,2,4},{3},{5,6},{7}}=>[2,4,3,1,6,5,7]=>([(0,5),(0,6),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) {{1},{2,3},{4,6},{5,7}}=>{{1,3},{2,4},{5,6},{7}}=>[3,4,1,2,6,5,7]=>([(0,3),(1,2),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) {{1},{2,3},{4,6},{5},{7}}=>{{1},{2,4},{3},{5,6},{7}}=>[1,4,3,2,6,5,7]=>([(0,1),(0,2),(0,3),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) {{1,7},{2,3},{4},{5,6}}=>{{1,7},{2,3},{4},{5,6}}=>[7,3,2,4,6,5,1]=>([(2,6),(3,6),(6,4),(6,5)],7) {{1},{2,3,7},{4},{5,6}}=>{{1,5,6},{2,3},{4},{7}}=>[5,3,2,4,6,1,7]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7) {{1},{2,3},{4,7},{5,6}}=>{{1,4},{2,3},{5,6},{7}}=>[4,3,2,1,6,5,7]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) {{1},{2,3},{4},{5,6,7}}=>{{1,2,3},{4},{5,6},{7}}=>[2,3,1,4,6,5,7]=>([(0,6),(1,2),(2,6),(3,5),(4,5),(6,3),(6,4)],7) {{1},{2,3},{4},{5,6},{7}}=>{{1},{2,3},{4},{5,6},{7}}=>[1,3,2,4,6,5,7]=>([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7) {{1,7},{2,3},{4},{5},{6}}=>{{1,7},{2},{3},{4},{5,6}}=>[7,2,3,4,6,5,1]=>([(2,5),(5,6),(6,3),(6,4)],7) {{1},{2,3,7},{4},{5},{6}}=>{{1,5,6},{2},{3},{4},{7}}=>[5,2,3,4,6,1,7]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7) {{1},{2,3},{4,7},{5},{6}}=>{{1,4},{2},{3},{5,6},{7}}=>[4,2,3,1,6,5,7]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7) {{1},{2,3},{4},{5,7},{6}}=>{{1,3},{2},{4},{5,6},{7}}=>[3,2,1,4,6,5,7]=>([(0,6),(1,6),(2,6),(3,5),(4,5),(6,3),(6,4)],7) {{1},{2,3},{4},{5},{6,7}}=>{{1,2},{3},{4},{5,6},{7}}=>[2,1,3,4,6,5,7]=>([(0,6),(1,6),(2,5),(3,5),(4,2),(4,3),(6,4)],7) {{1},{2,3},{4},{5},{6},{7}}=>{{1},{2},{3},{4},{5,6},{7}}=>[1,2,3,4,6,5,7]=>([(0,4),(1,6),(2,6),(3,5),(4,3),(5,1),(5,2)],7) {{1,4,5,6,7},{2},{3}}=>{{1,2,3,4,7},{5},{6}}=>[2,3,4,7,5,6,1]=>([(1,5),(4,3),(5,6),(6,2),(6,4)],7) {{1,4,5,6},{2,7},{3}}=>{{1,6},{2,3,4,7},{5}}=>[6,3,4,7,5,1,2]=>([(0,6),(1,3),(2,4),(4,5),(4,6)],7) {{1,4,5,6},{2},{3,7}}=>{{1,5},{2,3,4,7},{6}}=>[5,3,4,7,1,6,2]=>([(0,5),(0,6),(1,4),(2,3),(2,6),(4,5),(4,6)],7) {{1,4,5,6},{2},{3},{7}}=>{{1},{2,3,4,7},{5},{6}}=>[1,3,4,7,5,6,2]=>([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) {{1,4,5,7},{2,6},{3}}=>{{1,3,4,7},{2,6},{5}}=>[3,6,4,7,5,2,1]=>([(2,3),(2,4),(3,6),(4,5),(4,6)],7) {{1,4,5},{2,6,7},{3}}=>{{1,2,6},{3,4,7},{5}}=>[2,6,4,7,5,1,3]=>([(0,6),(1,3),(1,4),(1,6),(3,5),(4,2),(4,5)],7) {{1,4,5},{2,6},{3,7}}=>{{1,5},{2,6},{3,4,7}}=>[5,6,4,7,1,2,3]=>([(0,6),(1,3),(2,4),(3,5),(4,6)],7) {{1,4,5},{2,6},{3},{7}}=>{{1},{2,6},{3,4,7},{5}}=>[1,6,4,7,5,2,3]=>([(0,3),(0,4),(0,5),(3,6),(4,2),(5,1),(5,6)],7) {{1,4,5,7},{2},{3,6}}=>{{1,3,4,7},{2,5},{6}}=>[3,5,4,7,2,6,1]=>([(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) {{1,4,5},{2,7},{3,6}}=>{{1,6},{2,5},{3,4,7}}=>[6,5,4,7,2,1,3]=>([(0,6),(1,6),(2,6),(3,5),(4,5)],7) {{1,4,5},{2},{3,6,7}}=>{{1,2,5},{3,4,7},{6}}=>[2,5,4,7,1,6,3]=>([(0,4),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6)],7) {{1,4,5},{2},{3,6},{7}}=>{{1},{2,5},{3,4,7},{6}}=>[1,5,4,7,2,6,3]=>([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,6)],7) {{1,4,5,7},{2},{3},{6}}=>{{1,3,4,7},{2},{5},{6}}=>[3,2,4,7,5,6,1]=>([(1,6),(2,6),(4,5),(6,3),(6,4)],7) {{1,4,5},{2,7},{3},{6}}=>{{1,6},{2},{3,4,7},{5}}=>[6,2,4,7,5,1,3]=>([(0,6),(1,5),(2,3),(2,5),(3,4),(3,6)],7) {{1,4,5},{2},{3,7},{6}}=>{{1,5},{2},{3,4,7},{6}}=>[5,2,4,7,1,6,3]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(3,5),(3,6)],7) {{1,4,5},{2},{3},{6,7}}=>{{1,2},{3,4,7},{5},{6}}=>[2,1,4,7,5,6,3]=>([(0,5),(0,6),(1,5),(1,6),(4,3),(6,2),(6,4)],7) {{1,4,5},{2},{3},{6},{7}}=>{{1},{2},{3,4,7},{5},{6}}=>[1,2,4,7,5,6,3]=>([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7) {{1,4,6,7},{2,5},{3}}=>{{1,2,4,7},{3,6},{5}}=>[2,4,6,7,5,3,1]=>([(1,4),(1,6),(5,3),(6,2),(6,5)],7) {{1,4,6},{2,5,7},{3}}=>{{1,3,6},{2,4,7},{5}}=>[3,4,6,7,5,1,2]=>([(0,4),(1,6),(5,3),(6,2),(6,5)],7) {{1,4,6},{2,5},{3,7}}=>{{1,5},{2,4,7},{3,6}}=>[5,4,6,7,1,3,2]=>([(0,6),(1,6),(2,3),(2,4),(6,5)],7) {{1,4,6},{2,5},{3},{7}}=>{{1},{2,4,7},{3,6},{5}}=>[1,4,6,7,5,3,2]=>([(0,3),(0,4),(0,6),(5,2),(6,1),(6,5)],7) {{1,4,7},{2,5,6},{3}}=>{{1,4,7},{2,3,6},{5}}=>[4,3,6,7,5,2,1]=>([(2,5),(2,6),(3,5),(3,6),(6,4)],7) {{1,4},{2,5,6,7},{3}}=>{{1,2,3,6},{4,7},{5}}=>[2,3,6,7,5,1,4]=>([(0,6),(1,5),(4,3),(5,2),(5,4),(5,6)],7) {{1,4},{2,5,6},{3,7}}=>{{1,5},{2,3,6},{4,7}}=>[5,3,6,7,1,2,4]=>([(0,5),(1,5),(1,6),(2,3),(3,6),(5,4)],7) {{1,4},{2,5,6},{3},{7}}=>{{1},{2,3,6},{4,7},{5}}=>[1,3,6,7,5,2,4]=>([(0,3),(0,5),(3,6),(4,2),(5,1),(5,4),(5,6)],7) {{1,4,7},{2,5},{3,6}}=>{{1,4,7},{2,5},{3,6}}=>[4,5,6,7,2,3,1]=>([(1,6),(2,4),(5,3),(6,5)],7) {{1,4},{2,5,7},{3,6}}=>{{1,3,6},{2,5},{4,7}}=>[3,5,6,7,2,1,4]=>([(0,6),(1,6),(2,3),(2,6),(3,5),(5,4)],7) {{1,4},{2,5},{3,6,7}}=>{{1,2,5},{3,6},{4,7}}=>[2,5,6,7,1,3,4]=>([(0,6),(1,5),(1,6),(4,2),(5,4),(6,3)],7) {{1,4},{2,5},{3,6},{7}}=>{{1},{2,5},{3,6},{4,7}}=>[1,5,6,7,2,3,4]=>([(0,5),(0,6),(3,2),(4,1),(5,3),(6,4)],7) {{1,4,7},{2,5},{3},{6}}=>{{1,4,7},{2},{3,6},{5}}=>[4,2,6,7,5,3,1]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7) {{1,4},{2,5,7},{3},{6}}=>{{1,3,6},{2},{4,7},{5}}=>[3,2,6,7,5,1,4]=>([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3)],7) {{1,4},{2,5},{3,7},{6}}=>{{1,5},{2},{3,6},{4,7}}=>[5,2,6,7,1,3,4]=>([(0,6),(1,5),(2,5),(2,6),(5,3),(6,4)],7) {{1,4},{2,5},{3},{6,7}}=>{{1,2},{3,6},{4,7},{5}}=>[2,1,6,7,5,3,4]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(5,3),(6,2)],7) {{1,4},{2,5},{3},{6},{7}}=>{{1},{2},{3,6},{4,7},{5}}=>[1,2,6,7,5,3,4]=>([(0,6),(4,3),(5,2),(6,1),(6,4),(6,5)],7) {{1,4,6,7},{2},{3,5}}=>{{1,2,4,7},{3,5},{6}}=>[2,4,5,7,3,6,1]=>([(1,3),(1,4),(3,6),(4,5),(5,2),(5,6)],7) {{1,4,6},{2,7},{3,5}}=>{{1,6},{2,4,7},{3,5}}=>[6,4,5,7,3,1,2]=>([(1,6),(2,4),(3,5),(5,6)],7) {{1,4,6},{2},{3,5,7}}=>{{1,3,5},{2,4,7},{6}}=>[3,4,5,7,1,6,2]=>([(0,5),(1,3),(1,6),(4,2),(4,6),(5,4)],7) {{1,4,6},{2},{3,5},{7}}=>{{1},{2,4,7},{3,5},{6}}=>[1,4,5,7,3,6,2]=>([(0,2),(0,3),(0,5),(3,6),(4,1),(4,6),(5,4)],7) {{1,4,7},{2,6},{3,5}}=>{{1,4,7},{2,6},{3,5}}=>[4,6,5,7,3,2,1]=>([(3,4),(3,5),(4,6),(5,6)],7) {{1,4},{2,6,7},{3,5}}=>{{1,2,6},{3,5},{4,7}}=>[2,6,5,7,3,1,4]=>([(0,6),(1,2),(1,3),(1,4),(2,6),(3,5),(4,5)],7) {{1,4},{2,6},{3,5,7}}=>{{1,3,5},{2,6},{4,7}}=>[3,6,5,7,1,2,4]=>([(0,4),(1,2),(1,3),(1,6),(2,5),(3,5),(4,6)],7) {{1,4},{2,6},{3,5},{7}}=>{{1},{2,6},{3,5},{4,7}}=>[1,6,5,7,3,2,4]=>([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5)],7) {{1,4,7},{2},{3,5,6}}=>{{1,4,7},{2,3,5},{6}}=>[4,3,5,7,2,6,1]=>([(1,6),(2,6),(3,5),(6,4),(6,5)],7) {{1,4},{2,7},{3,5,6}}=>{{1,6},{2,3,5},{4,7}}=>[6,3,5,7,2,1,4]=>([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5)],7) {{1,4},{2},{3,5,6,7}}=>{{1,2,3,5},{4,7},{6}}=>[2,3,5,7,1,6,4]=>([(0,5),(0,6),(1,4),(3,2),(3,5),(4,3),(4,6)],7) {{1,4},{2},{3,5,6},{7}}=>{{1},{2,3,5},{4,7},{6}}=>[1,3,5,7,2,6,4]=>([(0,2),(0,4),(2,5),(2,6),(3,1),(3,6),(4,3),(4,5)],7) {{1,4,7},{2},{3,5},{6}}=>{{1,4,7},{2},{3,5},{6}}=>[4,2,5,7,3,6,1]=>([(1,5),(2,3),(2,5),(3,6),(5,4),(5,6)],7) {{1,4},{2,7},{3,5},{6}}=>{{1,6},{2},{3,5},{4,7}}=>[6,2,5,7,3,1,4]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) {{1,4},{2},{3,5,7},{6}}=>{{1,3,5},{2},{4,7},{6}}=>[3,2,5,7,1,6,4]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(5,3),(5,4)],7) {{1,4},{2},{3,5},{6,7}}=>{{1,2},{3,5},{4,7},{6}}=>[2,1,5,7,3,6,4]=>([(0,5),(0,6),(1,5),(1,6),(5,3),(5,4),(6,2),(6,4)],7) {{1,4},{2},{3,5},{6},{7}}=>{{1},{2},{3,5},{4,7},{6}}=>[1,2,5,7,3,6,4]=>([(0,5),(3,2),(3,6),(4,1),(4,6),(5,3),(5,4)],7) {{1,4,6,7},{2},{3},{5}}=>{{1,2,4,7},{3},{5},{6}}=>[2,4,3,7,5,6,1]=>([(1,3),(1,4),(3,5),(3,6),(4,5),(4,6),(6,2)],7) {{1,4,6},{2,7},{3},{5}}=>{{1,6},{2,4,7},{3},{5}}=>[6,4,3,7,5,1,2]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4)],7) {{1,4,6},{2},{3,7},{5}}=>{{1,5},{2,4,7},{3},{6}}=>[5,4,3,7,1,6,2]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7) {{1,4,6},{2},{3},{5,7}}=>{{1,3},{2,4,7},{5},{6}}=>[3,4,1,7,5,6,2]=>([(0,4),(1,3),(1,5),(1,6),(4,5),(4,6),(6,2)],7) {{1,4,6},{2},{3},{5},{7}}=>{{1},{2,4,7},{3},{5},{6}}=>[1,4,3,7,5,6,2]=>([(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1)],7) {{1,4,7},{2,6},{3},{5}}=>{{1,4,7},{2,6},{3},{5}}=>[4,6,3,7,5,2,1]=>([(2,5),(2,6),(3,4),(3,5),(4,6)],7) {{1,4},{2,6,7},{3},{5}}=>{{1,2,6},{3},{4,7},{5}}=>[2,6,3,7,5,1,4]=>([(0,6),(1,3),(1,4),(3,5),(4,2),(4,5),(4,6)],7) {{1,4},{2,6},{3,7},{5}}=>{{1,5},{2,6},{3},{4,7}}=>[5,6,3,7,1,2,4]=>([(0,5),(0,6),(1,4),(2,3),(3,5),(4,6)],7) {{1,4},{2,6},{3},{5,7}}=>{{1,3},{2,6},{4,7},{5}}=>[3,6,1,7,5,2,4]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,6),(2,5),(3,4)],7) {{1,4},{2,6},{3},{5},{7}}=>{{1},{2,6},{3},{4,7},{5}}=>[1,6,3,7,5,2,4]=>([(0,2),(0,3),(0,4),(2,6),(3,5),(4,1),(4,5),(4,6)],7) {{1,4,7},{2},{3,6},{5}}=>{{1,4,7},{2,5},{3},{6}}=>[4,5,3,7,2,6,1]=>([(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7) {{1,4},{2,7},{3,6},{5}}=>{{1,6},{2,5},{3},{4,7}}=>[6,5,3,7,2,1,4]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) {{1,4},{2},{3,6,7},{5}}=>{{1,2,5},{3},{4,7},{6}}=>[2,5,3,7,1,6,4]=>([(0,4),(0,6),(1,2),(1,3),(2,5),(2,6),(3,4),(3,5),(3,6)],7) {{1,4},{2},{3,6},{5,7}}=>{{1,3},{2,5},{4,7},{6}}=>[3,5,1,7,2,6,4]=>([(0,3),(0,6),(1,2),(1,5),(2,4),(2,6),(3,4),(3,5)],7) {{1,4},{2},{3,6},{5},{7}}=>{{1},{2,5},{3},{4,7},{6}}=>[1,5,3,7,2,6,4]=>([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7) {{1,4,7},{2},{3},{5,6}}=>{{1,4,7},{2,3},{5},{6}}=>[4,3,2,7,5,6,1]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) {{1,4},{2,7},{3},{5,6}}=>{{1,6},{2,3},{4,7},{5}}=>[6,3,2,7,5,1,4]=>([(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) {{1,4},{2},{3,7},{5,6}}=>{{1,5},{2,3},{4,7},{6}}=>[5,3,2,7,1,6,4]=>([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) {{1,4},{2},{3},{5,6,7}}=>{{1,2,3},{4,7},{5},{6}}=>[2,3,1,7,5,6,4]=>([(0,3),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6),(6,2)],7) {{1,4},{2},{3},{5,6},{7}}=>{{1},{2,3},{4,7},{5},{6}}=>[1,3,2,7,5,6,4]=>([(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(6,1)],7) {{1,4,7},{2},{3},{5},{6}}=>{{1,4,7},{2},{3},{5},{6}}=>[4,2,3,7,5,6,1]=>([(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7) {{1,4},{2,7},{3},{5},{6}}=>{{1,6},{2},{3},{4,7},{5}}=>[6,2,3,7,5,1,4]=>([(0,6),(1,5),(2,3),(3,4),(3,5),(3,6)],7) {{1,4},{2},{3,7},{5},{6}}=>{{1,5},{2},{3},{4,7},{6}}=>[5,2,3,7,1,6,4]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(3,4),(3,5),(3,6)],7) {{1,4},{2},{3},{5,7},{6}}=>{{1,3},{2},{4,7},{5},{6}}=>[3,2,1,7,5,6,4]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7) {{1,4},{2},{3},{5},{6,7}}=>{{1,2},{3},{4,7},{5},{6}}=>[2,1,3,7,5,6,4]=>([(0,6),(1,6),(5,2),(6,3),(6,4),(6,5)],7) {{1,4},{2},{3},{5},{6},{7}}=>{{1},{2},{3},{4,7},{5},{6}}=>[1,2,3,7,5,6,4]=>([(0,5),(4,3),(5,6),(6,1),(6,2),(6,4)],7) {{1,5,6,7},{2,4},{3}}=>{{1,2,3,7},{4,6},{5}}=>[2,3,7,6,5,4,1]=>([(1,6),(6,2),(6,3),(6,4),(6,5)],7) {{1,5,6},{2,4,7},{3}}=>{{1,4,6},{2,3,7},{5}}=>[4,3,7,6,5,1,2]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3)],7) {{1,5,6},{2,4},{3,7}}=>{{1,5},{2,3,7},{4,6}}=>[5,3,7,6,1,4,2]=>([(0,4),(0,5),(1,4),(1,5),(1,6),(2,3),(2,6)],7) {{1,5,6},{2,4},{3},{7}}=>{{1},{2,3,7},{4,6},{5}}=>[1,3,7,6,5,4,2]=>([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7) {{1,5,7},{2,4,6},{3}}=>{{1,3,7},{2,4,6},{5}}=>[3,4,7,6,5,2,1]=>([(2,6),(6,3),(6,4),(6,5)],7) {{1,5},{2,4,6,7},{3}}=>{{1,2,4,6},{3,7},{5}}=>[2,4,7,6,5,1,3]=>([(0,6),(1,5),(1,6),(5,2),(5,3),(5,4)],7) {{1,5},{2,4,6},{3,7}}=>{{1,5},{2,4,6},{3,7}}=>[5,4,7,6,1,2,3]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4)],7) {{1,5},{2,4,6},{3},{7}}=>{{1},{2,4,6},{3,7},{5}}=>[1,4,7,6,5,2,3]=>([(0,5),(0,6),(5,4),(6,1),(6,2),(6,3)],7) {{1,5,7},{2,4},{3,6}}=>{{1,3,7},{2,5},{4,6}}=>[3,5,7,6,2,4,1]=>([(1,6),(2,3),(2,6),(3,4),(3,5)],7) {{1,5},{2,4,7},{3,6}}=>{{1,4,6},{2,5},{3,7}}=>[4,5,7,6,2,1,3]=>([(0,3),(1,6),(2,6),(3,4),(3,5)],7) {{1,5},{2,4},{3,6,7}}=>{{1,2,5},{3,7},{4,6}}=>[2,5,7,6,1,4,3]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(4,2),(4,3)],7) {{1,5},{2,4},{3,6},{7}}=>{{1},{2,5},{3,7},{4,6}}=>[1,5,7,6,2,4,3]=>([(0,5),(0,6),(5,3),(5,4),(6,1),(6,2)],7) {{1,5,7},{2,4},{3},{6}}=>{{1,3,7},{2},{4,6},{5}}=>[3,2,7,6,5,4,1]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) {{1,5},{2,4,7},{3},{6}}=>{{1,4,6},{2},{3,7},{5}}=>[4,2,7,6,5,1,3]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6)],7) {{1,5},{2,4},{3,7},{6}}=>{{1,5},{2},{3,7},{4,6}}=>[5,2,7,6,1,4,3]=>([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6)],7) {{1,5},{2,4},{3},{6,7}}=>{{1,2},{3,7},{4,6},{5}}=>[2,1,7,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) {{1,5},{2,4},{3},{6},{7}}=>{{1},{2},{3,7},{4,6},{5}}=>[1,2,7,6,5,4,3]=>([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7) {{1,6,7},{2,4,5},{3}}=>{{1,2,7},{3,4,6},{5}}=>[2,7,4,6,5,3,1]=>([(1,4),(1,5),(1,6),(6,2),(6,3)],7) {{1,6},{2,4,5,7},{3}}=>{{1,3,4,6},{2,7},{5}}=>[3,7,4,6,5,1,2]=>([(0,5),(1,4),(1,6),(6,2),(6,3)],7) {{1,6},{2,4,5},{3,7}}=>{{1,5},{2,7},{3,4,6}}=>[5,7,4,6,1,3,2]=>([(0,6),(1,5),(1,6),(2,3),(2,4)],7) {{1,6},{2,4,5},{3},{7}}=>{{1},{2,7},{3,4,6},{5}}=>[1,7,4,6,5,3,2]=>([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7) {{1,7},{2,4,5,6},{3}}=>{{1,7},{2,3,4,6},{5}}=>[7,3,4,6,5,2,1]=>([(3,4),(4,5),(4,6)],7) {{1},{2,4,5,6,7},{3}}=>{{1,2,3,4,6},{5},{7}}=>[2,3,4,6,5,1,7]=>([(0,6),(1,4),(2,6),(3,6),(4,5),(5,2),(5,3)],7) {{1},{2,4,5,6},{3,7}}=>{{1,5},{2,3,4,6},{7}}=>[5,3,4,6,1,2,7]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7) {{1},{2,4,5,6},{3},{7}}=>{{1},{2,3,4,6},{5},{7}}=>[1,3,4,6,5,2,7]=>([(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(5,1),(5,2)],7) {{1,7},{2,4,5},{3,6}}=>{{1,7},{2,5},{3,4,6}}=>[7,5,4,6,2,3,1]=>([(2,6),(3,6),(4,5)],7) {{1},{2,4,5,7},{3,6}}=>{{1,3,4,6},{2,5},{7}}=>[3,5,4,6,2,1,7]=>([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7) {{1},{2,4,5},{3,6,7}}=>{{1,2,5},{3,4,6},{7}}=>[2,5,4,6,1,3,7]=>([(0,6),(1,2),(1,3),(1,6),(2,5),(3,5),(5,4),(6,4)],7) {{1},{2,4,5},{3,6},{7}}=>{{1},{2,5},{3,4,6},{7}}=>[1,5,4,6,2,3,7]=>([(0,2),(0,3),(0,4),(1,6),(2,5),(3,5),(4,1),(5,6)],7) {{1,7},{2,4,5},{3},{6}}=>{{1,7},{2},{3,4,6},{5}}=>[7,2,4,6,5,3,1]=>([(2,5),(2,6),(6,3),(6,4)],7) {{1},{2,4,5,7},{3},{6}}=>{{1,3,4,6},{2},{5},{7}}=>[3,2,4,6,5,1,7]=>([(0,6),(1,5),(2,5),(3,6),(4,6),(5,3),(5,4)],7) {{1},{2,4,5},{3,7},{6}}=>{{1,5},{2},{3,4,6},{7}}=>[5,2,4,6,1,3,7]=>([(0,6),(1,4),(2,3),(2,4),(3,6),(4,5),(6,5)],7) {{1},{2,4,5},{3},{6,7}}=>{{1,2},{3,4,6},{5},{7}}=>[2,1,4,6,5,3,7]=>([(0,4),(0,5),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7) {{1},{2,4,5},{3},{6},{7}}=>{{1},{2},{3,4,6},{5},{7}}=>[1,2,4,6,5,3,7]=>([(0,5),(1,6),(2,6),(3,6),(4,2),(4,3),(5,1),(5,4)],7) {{1,6,7},{2,4},{3,5}}=>{{1,2,7},{3,5},{4,6}}=>[2,7,5,6,3,4,1]=>([(1,4),(1,5),(1,6),(5,3),(6,2)],7) {{1,6},{2,4,7},{3,5}}=>{{1,4,6},{2,7},{3,5}}=>[4,7,5,6,3,1,2]=>([(1,5),(2,4),(2,6),(6,3)],7) {{1,6},{2,4},{3,5,7}}=>{{1,3,5},{2,7},{4,6}}=>[3,7,5,6,1,4,2]=>([(0,4),(0,6),(1,3),(1,5),(1,6),(5,2)],7) {{1,6},{2,4},{3,5},{7}}=>{{1},{2,7},{3,5},{4,6}}=>[1,7,5,6,3,4,2]=>([(0,3),(0,4),(0,5),(0,6),(5,2),(6,1)],7) {{1,7},{2,4,6},{3,5}}=>{{1,7},{2,4,6},{3,5}}=>[7,4,5,6,3,2,1]=>([(4,5),(5,6)],7) {{1},{2,4,6,7},{3,5}}=>{{1,2,4,6},{3,5},{7}}=>[2,4,5,6,3,1,7]=>([(0,6),(1,3),(1,5),(2,6),(3,6),(4,2),(5,4)],7) {{1},{2,4,6},{3,5,7}}=>{{1,3,5},{2,4,6},{7}}=>[3,4,5,6,1,2,7]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7) {{1},{2,4,6},{3,5},{7}}=>{{1},{2,4,6},{3,5},{7}}=>[1,4,5,6,3,2,7]=>([(0,2),(0,3),(0,5),(1,6),(2,6),(3,6),(4,1),(5,4)],7) {{1,7},{2,4},{3,5,6}}=>{{1,7},{2,3,5},{4,6}}=>[7,3,5,6,2,4,1]=>([(2,6),(3,4),(3,6),(4,5)],7) {{1},{2,4,7},{3,5,6}}=>{{1,4,6},{2,3,5},{7}}=>[4,3,5,6,2,1,7]=>([(0,6),(1,6),(2,5),(3,5),(4,6),(5,4)],7) {{1},{2,4},{3,5,6,7}}=>{{1,2,3,5},{4,6},{7}}=>[2,3,5,6,1,4,7]=>([(0,6),(1,4),(2,5),(3,2),(4,3),(4,6),(6,5)],7) {{1},{2,4},{3,5,6},{7}}=>{{1},{2,3,5},{4,6},{7}}=>[1,3,5,6,2,4,7]=>([(0,2),(0,4),(1,6),(2,5),(3,1),(4,3),(4,5),(5,6)],7) {{1,7},{2,4},{3,5},{6}}=>{{1,7},{2},{3,5},{4,6}}=>[7,2,5,6,3,4,1]=>([(2,5),(2,6),(5,4),(6,3)],7) {{1},{2,4,7},{3,5},{6}}=>{{1,4,6},{2},{3,5},{7}}=>[4,2,5,6,3,1,7]=>([(0,6),(1,5),(2,3),(2,5),(3,6),(4,6),(5,4)],7) {{1},{2,4},{3,5,7},{6}}=>{{1,3,5},{2},{4,6},{7}}=>[3,2,5,6,1,4,7]=>([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,3),(6,5)],7) {{1},{2,4},{3,5},{6,7}}=>{{1,2},{3,5},{4,6},{7}}=>[2,1,5,6,3,4,7]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(5,3),(6,2)],7) {{1},{2,4},{3,5},{6},{7}}=>{{1},{2},{3,5},{4,6},{7}}=>[1,2,5,6,3,4,7]=>([(0,5),(1,6),(2,6),(3,2),(4,1),(5,3),(5,4)],7) {{1,6,7},{2,4},{3},{5}}=>{{1,2,7},{3},{4,6},{5}}=>[2,7,3,6,5,4,1]=>([(1,5),(1,6),(6,2),(6,3),(6,4)],7) {{1,6},{2,4,7},{3},{5}}=>{{1,4,6},{2,7},{3},{5}}=>[4,7,3,6,5,1,2]=>([(0,5),(0,6),(1,3),(2,4),(2,5),(2,6)],7) {{1,6},{2,4},{3,7},{5}}=>{{1,5},{2,7},{3},{4,6}}=>[5,7,3,6,1,4,2]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7) {{1,6},{2,4},{3},{5,7}}=>{{1,3},{2,7},{4,6},{5}}=>[3,7,1,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6)],7) {{1,6},{2,4},{3},{5},{7}}=>{{1},{2,7},{3},{4,6},{5}}=>[1,7,3,6,5,4,2]=>([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7) {{1,7},{2,4,6},{3},{5}}=>{{1,7},{2,4,6},{3},{5}}=>[7,4,3,6,5,2,1]=>([(3,5),(3,6),(4,5),(4,6)],7) {{1},{2,4,6,7},{3},{5}}=>{{1,2,4,6},{3},{5},{7}}=>[2,4,3,6,5,1,7]=>([(0,6),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) {{1},{2,4,6},{3,7},{5}}=>{{1,5},{2,4,6},{3},{7}}=>[5,4,3,6,1,2,7]=>([(0,6),(1,6),(2,6),(3,4),(4,5),(6,5)],7) {{1},{2,4,6},{3},{5,7}}=>{{1,3},{2,4,6},{5},{7}}=>[3,4,1,6,5,2,7]=>([(0,3),(1,2),(1,4),(1,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7) {{1},{2,4,6},{3},{5},{7}}=>{{1},{2,4,6},{3},{5},{7}}=>[1,4,3,6,5,2,7]=>([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) {{1,7},{2,4},{3,6},{5}}=>{{1,7},{2,5},{3},{4,6}}=>[7,5,3,6,2,4,1]=>([(2,6),(3,5),(4,5),(4,6)],7) {{1},{2,4,7},{3,6},{5}}=>{{1,4,6},{2,5},{3},{7}}=>[4,5,3,6,2,1,7]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(5,6)],7) {{1},{2,4},{3,6,7},{5}}=>{{1,2,5},{3},{4,6},{7}}=>[2,5,3,6,1,4,7]=>([(0,2),(0,3),(1,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) {{1},{2,4},{3,6},{5,7}}=>{{1,3},{2,5},{4,6},{7}}=>[3,5,1,6,2,4,7]=>([(0,3),(0,6),(1,2),(1,5),(2,6),(3,5),(5,4),(6,4)],7) {{1},{2,4},{3,6},{5},{7}}=>{{1},{2,5},{3},{4,6},{7}}=>[1,5,3,6,2,4,7]=>([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) {{1,7},{2,4},{3},{5,6}}=>{{1,7},{2,3},{4,6},{5}}=>[7,3,2,6,5,4,1]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) {{1},{2,4,7},{3},{5,6}}=>{{1,4,6},{2,3},{5},{7}}=>[4,3,2,6,5,1,7]=>([(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) {{1},{2,4},{3,7},{5,6}}=>{{1,5},{2,3},{4,6},{7}}=>[5,3,2,6,1,4,7]=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) {{1},{2,4},{3},{5,6,7}}=>{{1,2,3},{4,6},{5},{7}}=>[2,3,1,6,5,4,7]=>([(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) {{1},{2,4},{3},{5,6},{7}}=>{{1},{2,3},{4,6},{5},{7}}=>[1,3,2,6,5,4,7]=>([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) {{1,7},{2,4},{3},{5},{6}}=>{{1,7},{2},{3},{4,6},{5}}=>[7,2,3,6,5,4,1]=>([(2,6),(6,3),(6,4),(6,5)],7) {{1},{2,4,7},{3},{5},{6}}=>{{1,4,6},{2},{3},{5},{7}}=>[4,2,3,6,5,1,7]=>([(0,6),(1,4),(1,5),(2,3),(3,4),(3,5),(4,6),(5,6)],7) {{1},{2,4},{3,7},{5},{6}}=>{{1,5},{2},{3},{4,6},{7}}=>[5,2,3,6,1,4,7]=>([(0,6),(1,5),(2,3),(3,5),(3,6),(5,4),(6,4)],7) {{1},{2,4},{3},{5,7},{6}}=>{{1,3},{2},{4,6},{5},{7}}=>[3,2,1,6,5,4,7]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(4,3),(5,3),(6,3)],7) {{1},{2,4},{3},{5},{6,7}}=>{{1,2},{3},{4,6},{5},{7}}=>[2,1,3,6,5,4,7]=>([(0,5),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3),(5,4)],7) {{1},{2,4},{3},{5},{6},{7}}=>{{1},{2},{3},{4,6},{5},{7}}=>[1,2,3,6,5,4,7]=>([(0,4),(1,6),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7) {{1,5,6,7},{2},{3,4}}=>{{1,2,3,7},{4,5},{6}}=>[2,3,7,5,4,6,1]=>([(1,5),(3,6),(4,6),(5,2),(5,3),(5,4)],7) {{1,5,6},{2,7},{3,4}}=>{{1,6},{2,3,7},{4,5}}=>[6,3,7,5,4,1,2]=>([(0,6),(1,5),(2,3),(2,4),(2,6)],7) {{1,5,6},{2},{3,4,7}}=>{{1,4,5},{2,3,7},{6}}=>[4,3,7,5,1,6,2]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,6),(5,6)],7) {{1,5,6},{2},{3,4},{7}}=>{{1},{2,3,7},{4,5},{6}}=>[1,3,7,5,4,6,2]=>([(0,4),(0,5),(2,6),(3,6),(5,1),(5,2),(5,3)],7) {{1,5,7},{2,6},{3,4}}=>{{1,3,7},{2,6},{4,5}}=>[3,6,7,5,4,2,1]=>([(2,4),(2,5),(2,6),(6,3)],7) {{1,5},{2,6,7},{3,4}}=>{{1,2,6},{3,7},{4,5}}=>[2,6,7,5,4,1,3]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(5,2)],7) {{1,5},{2,6},{3,4,7}}=>{{1,4,5},{2,6},{3,7}}=>[4,6,7,5,1,2,3]=>([(0,6),(1,4),(1,5),(5,3),(6,2)],7) {{1,5},{2,6},{3,4},{7}}=>{{1},{2,6},{3,7},{4,5}}=>[1,6,7,5,4,2,3]=>([(0,3),(0,4),(0,5),(0,6),(5,2),(6,1)],7) {{1,5,7},{2},{3,4,6}}=>{{1,3,7},{2,4,5},{6}}=>[3,4,7,5,2,6,1]=>([(1,3),(2,6),(3,4),(3,5),(5,6)],7) {{1,5},{2,7},{3,4,6}}=>{{1,6},{2,4,5},{3,7}}=>[6,4,7,5,2,1,3]=>([(0,5),(1,5),(2,6),(3,4),(3,6)],7) {{1,5},{2},{3,4,6,7}}=>{{1,2,4,5},{3,7},{6}}=>[2,4,7,5,1,6,3]=>([(0,5),(0,6),(1,4),(1,6),(3,5),(4,2),(4,3)],7) {{1,5},{2},{3,4,6},{7}}=>{{1},{2,4,5},{3,7},{6}}=>[1,4,7,5,2,6,3]=>([(0,4),(0,5),(3,6),(4,2),(4,6),(5,1),(5,3)],7) {{1,5,7},{2},{3,4},{6}}=>{{1,3,7},{2},{4,5},{6}}=>[3,2,7,5,4,6,1]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7) {{1,5},{2,7},{3,4},{6}}=>{{1,6},{2},{3,7},{4,5}}=>[6,2,7,5,4,1,3]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6)],7) {{1,5},{2},{3,4,7},{6}}=>{{1,4,5},{2},{3,7},{6}}=>[4,2,7,5,1,6,3]=>([(0,3),(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7) {{1,5},{2},{3,4},{6,7}}=>{{1,2},{3,7},{4,5},{6}}=>[2,1,7,5,4,6,3]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(5,2),(6,2)],7) {{1,5},{2},{3,4},{6},{7}}=>{{1},{2},{3,7},{4,5},{6}}=>[1,2,7,5,4,6,3]=>([(0,5),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7) {{1,6,7},{2,5},{3,4}}=>{{1,2,7},{3,6},{4,5}}=>[2,7,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7) {{1,6},{2,5,7},{3,4}}=>{{1,3,6},{2,7},{4,5}}=>[3,7,6,5,4,1,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5)],7) {{1,6},{2,5},{3,4,7}}=>{{1,4,5},{2,7},{3,6}}=>[4,7,6,5,1,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4)],7) {{1,6},{2,5},{3,4},{7}}=>{{1},{2,7},{3,6},{4,5}}=>[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) {{1,7},{2,5,6},{3,4}}=>{{1,7},{2,3,6},{4,5}}=>[7,3,6,5,4,2,1]=>([(3,4),(3,5),(3,6)],7) {{1},{2,5,6,7},{3,4}}=>{{1,2,3,6},{4,5},{7}}=>[2,3,6,5,4,1,7]=>([(0,6),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3),(5,4)],7) {{1},{2,5,6},{3,4,7}}=>{{1,4,5},{2,3,6},{7}}=>[4,3,6,5,1,2,7]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(3,6),(4,6),(5,6)],7) {{1},{2,5,6},{3,4},{7}}=>{{1},{2,3,6},{4,5},{7}}=>[1,3,6,5,4,2,7]=>([(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7) {{1,7},{2,5},{3,4,6}}=>{{1,7},{2,4,5},{3,6}}=>[7,4,6,5,2,3,1]=>([(2,6),(3,4),(3,5)],7) {{1},{2,5,7},{3,4,6}}=>{{1,3,6},{2,4,5},{7}}=>[3,4,6,5,2,1,7]=>([(0,3),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) {{1},{2,5},{3,4,6,7}}=>{{1,2,4,5},{3,6},{7}}=>[2,4,6,5,1,3,7]=>([(0,5),(1,4),(1,5),(2,6),(3,6),(4,2),(4,3),(5,6)],7) {{1},{2,5},{3,4,6},{7}}=>{{1},{2,4,5},{3,6},{7}}=>[1,4,6,5,2,3,7]=>([(0,4),(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2)],7) {{1,7},{2,5},{3,4},{6}}=>{{1,7},{2},{3,6},{4,5}}=>[7,2,6,5,4,3,1]=>([(2,3),(2,4),(2,5),(2,6)],7) {{1},{2,5,7},{3,4},{6}}=>{{1,3,6},{2},{4,5},{7}}=>[3,2,6,5,4,1,7]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) {{1},{2,5},{3,4,7},{6}}=>{{1,4,5},{2},{3,6},{7}}=>[4,2,6,5,1,3,7]=>([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) {{1},{2,5},{3,4},{6,7}}=>{{1,2},{3,6},{4,5},{7}}=>[2,1,6,5,4,3,7]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) {{1},{2,5},{3,4},{6},{7}}=>{{1},{2},{3,6},{4,5},{7}}=>[1,2,6,5,4,3,7]=>([(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7) {{1,6,7},{2},{3,4,5}}=>{{1,2,7},{3,4,5},{6}}=>[2,7,4,5,3,6,1]=>([(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7) {{1,6},{2,7},{3,4,5}}=>{{1,6},{2,7},{3,4,5}}=>[6,7,4,5,3,1,2]=>([(1,6),(2,5),(3,4)],7) {{1,6},{2},{3,4,5,7}}=>{{1,3,4,5},{2,7},{6}}=>[3,7,4,5,1,6,2]=>([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7) {{1,6},{2},{3,4,5},{7}}=>{{1},{2,7},{3,4,5},{6}}=>[1,7,4,5,3,6,2]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(4,6),(5,1)],7) {{1,7},{2,6},{3,4,5}}=>{{1,7},{2,6},{3,4,5}}=>[7,6,4,5,3,2,1]=>([(5,6)],7) {{1},{2,6,7},{3,4,5}}=>{{1,2,6},{3,4,5},{7}}=>[2,6,4,5,3,1,7]=>([(0,6),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7) {{1},{2,6},{3,4,5,7}}=>{{1,3,4,5},{2,6},{7}}=>[3,6,4,5,1,2,7]=>([(0,4),(1,3),(1,5),(2,6),(3,6),(4,6),(5,2)],7) {{1},{2,6},{3,4,5},{7}}=>{{1},{2,6},{3,4,5},{7}}=>[1,6,4,5,3,2,7]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1)],7) {{1,7},{2},{3,4,5,6}}=>{{1,7},{2,3,4,5},{6}}=>[7,3,4,5,2,6,1]=>([(2,6),(3,4),(4,5),(5,6)],7) {{1},{2,7},{3,4,5,6}}=>{{1,6},{2,3,4,5},{7}}=>[6,3,4,5,2,1,7]=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) {{1},{2},{3,4,5,6,7}}=>{{1,2,3,4,5},{6},{7}}=>[2,3,4,5,1,6,7]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7) {{1},{2},{3,4,5,6},{7}}=>{{1},{2,3,4,5},{6},{7}}=>[1,3,4,5,2,6,7]=>([(0,3),(0,5),(1,6),(3,6),(4,1),(5,4),(6,2)],7) {{1,7},{2},{3,4,5},{6}}=>{{1,7},{2},{3,4,5},{6}}=>[7,2,4,5,3,6,1]=>([(2,3),(2,4),(3,5),(4,6),(5,6)],7) {{1},{2,7},{3,4,5},{6}}=>{{1,6},{2},{3,4,5},{7}}=>[6,2,4,5,3,1,7]=>([(0,6),(1,6),(2,3),(2,4),(3,5),(4,6),(5,6)],7) {{1},{2},{3,4,5,7},{6}}=>{{1,3,4,5},{2},{6},{7}}=>[3,2,4,5,1,6,7]=>([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7) {{1},{2},{3,4,5},{6,7}}=>{{1,2},{3,4,5},{6},{7}}=>[2,1,4,5,3,6,7]=>([(0,5),(0,6),(1,5),(1,6),(3,4),(4,2),(5,3),(6,4)],7) {{1},{2},{3,4,5},{6},{7}}=>{{1},{2},{3,4,5},{6},{7}}=>[1,2,4,5,3,6,7]=>([(0,5),(1,6),(2,6),(4,2),(5,1),(5,4),(6,3)],7) {{1,6,7},{2},{3,4},{5}}=>{{1,2,7},{3},{4,5},{6}}=>[2,7,3,5,4,6,1]=>([(1,2),(1,5),(3,6),(4,6),(5,3),(5,4)],7) {{1,6},{2,7},{3,4},{5}}=>{{1,6},{2,7},{3},{4,5}}=>[6,7,3,5,4,1,2]=>([(0,6),(1,5),(2,3),(2,4)],7) {{1,6},{2},{3,4,7},{5}}=>{{1,4,5},{2,7},{3},{6}}=>[4,7,3,5,1,6,2]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(5,6)],7) {{1,6},{2},{3,4},{5,7}}=>{{1,3},{2,7},{4,5},{6}}=>[3,7,1,5,4,6,2]=>([(0,3),(0,5),(0,6),(1,2),(1,5),(1,6),(5,4),(6,4)],7) {{1,6},{2},{3,4},{5},{7}}=>{{1},{2,7},{3},{4,5},{6}}=>[1,7,3,5,4,6,2]=>([(0,3),(0,4),(0,5),(1,6),(2,6),(5,1),(5,2)],7) {{1,7},{2,6},{3,4},{5}}=>{{1,7},{2,6},{3},{4,5}}=>[7,6,3,5,4,2,1]=>([(4,5),(4,6)],7) {{1},{2,6,7},{3,4},{5}}=>{{1,2,6},{3},{4,5},{7}}=>[2,6,3,5,4,1,7]=>([(0,6),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7) {{1},{2,6},{3,4,7},{5}}=>{{1,4,5},{2,6},{3},{7}}=>[4,6,3,5,1,2,7]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) {{1},{2,6},{3,4},{5,7}}=>{{1,3},{2,6},{4,5},{7}}=>[3,6,1,5,4,2,7]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) {{1},{2,6},{3,4},{5},{7}}=>{{1},{2,6},{3},{4,5},{7}}=>[1,6,3,5,4,2,7]=>([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2)],7) {{1,7},{2},{3,4,6},{5}}=>{{1,7},{2,4,5},{3},{6}}=>[7,4,3,5,2,6,1]=>([(2,6),(3,5),(4,5),(5,6)],7) {{1},{2,7},{3,4,6},{5}}=>{{1,6},{2,4,5},{3},{7}}=>[6,4,3,5,2,1,7]=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) {{1},{2},{3,4,6,7},{5}}=>{{1,2,4,5},{3},{6},{7}}=>[2,4,3,5,1,6,7]=>([(0,6),(1,3),(1,4),(3,5),(4,5),(5,6),(6,2)],7) {{1},{2},{3,4,6},{5,7}}=>{{1,3},{2,4,5},{6},{7}}=>[3,4,1,5,2,6,7]=>([(0,4),(1,3),(1,5),(3,6),(4,5),(5,6),(6,2)],7) {{1},{2},{3,4,6},{5},{7}}=>{{1},{2,4,5},{3},{6},{7}}=>[1,4,3,5,2,6,7]=>([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6),(6,1)],7) {{1,7},{2},{3,4},{5,6}}=>{{1,7},{2,3},{4,5},{6}}=>[7,3,2,5,4,6,1]=>([(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) {{1},{2,7},{3,4},{5,6}}=>{{1,6},{2,3},{4,5},{7}}=>[6,3,2,5,4,1,7]=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) {{1},{2},{3,4,7},{5,6}}=>{{1,4,5},{2,3},{6},{7}}=>[4,3,2,5,1,6,7]=>([(0,6),(1,6),(2,6),(3,5),(5,4),(6,5)],7) {{1},{2},{3,4},{5,6,7}}=>{{1,2,3},{4,5},{6},{7}}=>[2,3,1,5,4,6,7]=>([(0,3),(1,5),(1,6),(3,5),(3,6),(4,2),(5,4),(6,4)],7) {{1},{2},{3,4},{5,6},{7}}=>{{1},{2,3},{4,5},{6},{7}}=>[1,3,2,5,4,6,7]=>([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6),(6,1)],7) {{1,7},{2},{3,4},{5},{6}}=>{{1,7},{2},{3},{4,5},{6}}=>[7,2,3,5,4,6,1]=>([(2,3),(3,4),(3,5),(4,6),(5,6)],7) {{1},{2,7},{3,4},{5},{6}}=>{{1,6},{2},{3},{4,5},{7}}=>[6,2,3,5,4,1,7]=>([(0,3),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) {{1},{2},{3,4,7},{5},{6}}=>{{1,4,5},{2},{3},{6},{7}}=>[4,2,3,5,1,6,7]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7) {{1},{2},{3,4},{5,7},{6}}=>{{1,3},{2},{4,5},{6},{7}}=>[3,2,1,5,4,6,7]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,4)],7) {{1},{2},{3,4},{5},{6,7}}=>{{1,2},{3},{4,5},{6},{7}}=>[2,1,3,5,4,6,7]=>([(0,6),(1,6),(2,5),(3,5),(5,4),(6,2),(6,3)],7) {{1},{2},{3,4},{5},{6},{7}}=>{{1},{2},{3},{4,5},{6},{7}}=>[1,2,3,5,4,6,7]=>([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7) {{1,5,6,7},{2},{3},{4}}=>{{1,2,3,7},{4},{5},{6}}=>[2,3,7,4,5,6,1]=>([(1,6),(4,5),(5,3),(6,2),(6,4)],7) {{1,5,6},{2,7},{3},{4}}=>{{1,6},{2,3,7},{4},{5}}=>[6,3,7,4,5,1,2]=>([(0,6),(1,3),(2,4),(2,6),(4,5)],7) {{1,5,6},{2},{3,7},{4}}=>{{1,5},{2,3,7},{4},{6}}=>[5,3,7,4,1,6,2]=>([(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(4,6)],7) {{1,5,6},{2},{3},{4,7}}=>{{1,4},{2,3,7},{5},{6}}=>[4,3,7,1,5,6,2]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(6,4)],7) {{1,5,6},{2},{3},{4},{7}}=>{{1},{2,3,7},{4},{5},{6}}=>[1,3,7,4,5,6,2]=>([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) {{1,5,7},{2,6},{3},{4}}=>{{1,3,7},{2,6},{4},{5}}=>[3,6,7,4,5,2,1]=>([(2,5),(2,6),(5,4),(6,3)],7) {{1,5},{2,6,7},{3},{4}}=>{{1,2,6},{3,7},{4},{5}}=>[2,6,7,4,5,1,3]=>([(0,6),(1,4),(1,5),(1,6),(4,3),(5,2)],7) {{1,5},{2,6},{3,7},{4}}=>{{1,5},{2,6},{3,7},{4}}=>[5,6,7,4,1,2,3]=>([(1,6),(2,5),(5,3),(6,4)],7) {{1,5},{2,6},{3},{4,7}}=>{{1,4},{2,6},{3,7},{5}}=>[4,6,7,1,5,2,3]=>([(0,5),(0,6),(1,4),(1,6),(4,2),(5,3)],7) {{1,5},{2,6},{3},{4},{7}}=>{{1},{2,6},{3,7},{4},{5}}=>[1,6,7,4,5,2,3]=>([(0,4),(0,5),(0,6),(4,3),(5,2),(6,1)],7) {{1,5,7},{2},{3,6},{4}}=>{{1,3,7},{2,5},{4},{6}}=>[3,5,7,4,2,6,1]=>([(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7) {{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}=>[6,5,7,4,2,1,3]=>([(1,6),(2,6),(3,5),(4,5)],7) {{1,5},{2},{3,6,7},{4}}=>{{1,2,5},{3,7},{4},{6}}=>[2,5,7,4,1,6,3]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(3,6),(4,2),(4,6)],7) {{1,5},{2},{3,6},{4,7}}=>{{1,4},{2,5},{3,7},{6}}=>[4,5,7,1,2,6,3]=>([(0,5),(1,4),(4,2),(4,6),(5,3),(5,6)],7) {{1,5},{2},{3,6},{4},{7}}=>{{1},{2,5},{3,7},{4},{6}}=>[1,5,7,4,2,6,3]=>([(0,3),(0,4),(0,5),(3,6),(4,2),(4,6),(5,1),(5,6)],7) {{1,5,7},{2},{3},{4,6}}=>{{1,3,7},{2,4},{5},{6}}=>[3,4,7,2,5,6,1]=>([(1,6),(2,3),(3,5),(3,6),(6,4)],7) {{1,5},{2,7},{3},{4,6}}=>{{1,6},{2,4},{3,7},{5}}=>[6,4,7,2,5,1,3]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7) {{1,5},{2},{3,7},{4,6}}=>{{1,5},{2,4},{3,7},{6}}=>[5,4,7,2,1,6,3]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6)],7) {{1,5},{2},{3},{4,6,7}}=>{{1,2,4},{3,7},{5},{6}}=>[2,4,7,1,5,6,3]=>([(0,5),(0,6),(1,4),(1,5),(4,3),(4,6),(6,2)],7) {{1,5},{2},{3},{4,6},{7}}=>{{1},{2,4},{3,7},{5},{6}}=>[1,4,7,2,5,6,3]=>([(0,4),(0,5),(4,2),(4,6),(5,1),(5,6),(6,3)],7) {{1,5,7},{2},{3},{4},{6}}=>{{1,3,7},{2},{4},{5},{6}}=>[3,2,7,4,5,6,1]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7) {{1,5},{2,7},{3},{4},{6}}=>{{1,6},{2},{3,7},{4},{5}}=>[6,2,7,4,5,1,3]=>([(0,6),(1,5),(2,3),(2,5),(2,6),(3,4)],7) {{1,5},{2},{3,7},{4},{6}}=>{{1,5},{2},{3,7},{4},{6}}=>[5,2,7,4,1,6,3]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(3,6)],7) {{1,5},{2},{3},{4,7},{6}}=>{{1,4},{2},{3,7},{5},{6}}=>[4,2,7,1,5,6,3]=>([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(6,3)],7) {{1,5},{2},{3},{4},{6,7}}=>{{1,2},{3,7},{4},{5},{6}}=>[2,1,7,4,5,6,3]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(6,2)],7) {{1,5},{2},{3},{4},{6},{7}}=>{{1},{2},{3,7},{4},{5},{6}}=>[1,2,7,4,5,6,3]=>([(0,6),(4,5),(5,3),(6,1),(6,2),(6,4)],7) {{1,6,7},{2,5},{3},{4}}=>{{1,2,7},{3,6},{4},{5}}=>[2,7,6,4,5,3,1]=>([(1,3),(1,4),(1,5),(1,6),(6,2)],7) {{1,6},{2,5,7},{3},{4}}=>{{1,3,6},{2,7},{4},{5}}=>[3,7,6,4,5,1,2]=>([(0,5),(1,3),(1,4),(1,6),(6,2)],7) {{1,6},{2,5},{3,7},{4}}=>{{1,5},{2,7},{3,6},{4}}=>[5,7,6,4,1,3,2]=>([(1,5),(1,6),(2,3),(2,4)],7) {{1,6},{2,5},{3},{4,7}}=>{{1,4},{2,7},{3,6},{5}}=>[4,7,6,1,5,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6)],7) {{1,6},{2,5},{3},{4},{7}}=>{{1},{2,7},{3,6},{4},{5}}=>[1,7,6,4,5,3,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) {{1,7},{2,5,6},{3},{4}}=>{{1,7},{2,3,6},{4},{5}}=>[7,3,6,4,5,2,1]=>([(3,4),(3,5),(5,6)],7) {{1},{2,5,6,7},{3},{4}}=>{{1,2,3,6},{4},{5},{7}}=>[2,3,6,4,5,1,7]=>([(0,6),(1,5),(2,6),(3,6),(4,3),(5,2),(5,4)],7) {{1},{2,5,6},{3,7},{4}}=>{{1,5},{2,3,6},{4},{7}}=>[5,3,6,4,1,2,7]=>([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) {{1},{2,5,6},{3},{4,7}}=>{{1,4},{2,3,6},{5},{7}}=>[4,3,6,1,5,2,7]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,6),(4,6),(5,6)],7) {{1},{2,5,6},{3},{4},{7}}=>{{1},{2,3,6},{4},{5},{7}}=>[1,3,6,4,5,2,7]=>([(0,3),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1),(5,4)],7) {{1,7},{2,5},{3,6},{4}}=>{{1,7},{2,5},{3,6},{4}}=>[7,5,6,4,2,3,1]=>([(3,6),(4,5)],7) {{1},{2,5,7},{3,6},{4}}=>{{1,3,6},{2,5},{4},{7}}=>[3,5,6,4,2,1,7]=>([(0,6),(1,6),(2,3),(2,4),(3,5),(4,6),(5,6)],7) {{1},{2,5},{3,6,7},{4}}=>{{1,2,5},{3,6},{4},{7}}=>[2,5,6,4,1,3,7]=>([(0,5),(1,3),(1,4),(1,5),(2,6),(3,6),(4,2),(5,6)],7) {{1},{2,5},{3,6},{4,7}}=>{{1,4},{2,5},{3,6},{7}}=>[4,5,6,1,2,3,7]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7) {{1},{2,5},{3,6},{4},{7}}=>{{1},{2,5},{3,6},{4},{7}}=>[1,5,6,4,2,3,7]=>([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1)],7) {{1,7},{2,5},{3},{4,6}}=>{{1,7},{2,4},{3,6},{5}}=>[7,4,6,2,5,3,1]=>([(2,5),(2,6),(3,4),(3,6)],7) {{1},{2,5,7},{3},{4,6}}=>{{1,3,6},{2,4},{5},{7}}=>[3,4,6,2,5,1,7]=>([(0,6),(1,5),(2,3),(3,4),(3,5),(4,6),(5,6)],7) {{1},{2,5},{3,7},{4,6}}=>{{1,5},{2,4},{3,6},{7}}=>[5,4,6,2,1,3,7]=>([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7) {{1},{2,5},{3},{4,6,7}}=>{{1,2,4},{3,6},{5},{7}}=>[2,4,6,1,5,3,7]=>([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5),(3,6),(4,6),(5,6)],7) {{1},{2,5},{3},{4,6},{7}}=>{{1},{2,4},{3,6},{5},{7}}=>[1,4,6,2,5,3,7]=>([(0,3),(0,4),(1,6),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6)],7) {{1,7},{2,5},{3},{4},{6}}=>{{1,7},{2},{3,6},{4},{5}}=>[7,2,6,4,5,3,1]=>([(2,4),(2,5),(2,6),(6,3)],7) {{1},{2,5,7},{3},{4},{6}}=>{{1,3,6},{2},{4},{5},{7}}=>[3,2,6,4,5,1,7]=>([(0,6),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7) {{1},{2,5},{3,7},{4},{6}}=>{{1,5},{2},{3,6},{4},{7}}=>[5,2,6,4,1,3,7]=>([(0,5),(1,4),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) {{1},{2,5},{3},{4,7},{6}}=>{{1,4},{2},{3,6},{5},{7}}=>[4,2,6,1,5,3,7]=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) {{1},{2,5},{3},{4},{6,7}}=>{{1,2},{3,6},{4},{5},{7}}=>[2,1,6,4,5,3,7]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7) {{1},{2,5},{3},{4},{6},{7}}=>{{1},{2},{3,6},{4},{5},{7}}=>[1,2,6,4,5,3,7]=>([(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2),(5,4)],7) {{1,6,7},{2},{3,5},{4}}=>{{1,2,7},{3,5},{4},{6}}=>[2,7,5,4,3,6,1]=>([(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) {{1,6},{2,7},{3,5},{4}}=>{{1,6},{2,7},{3,5},{4}}=>[6,7,5,4,3,1,2]=>([(3,6),(4,5)],7) {{1,6},{2},{3,5,7},{4}}=>{{1,3,5},{2,7},{4},{6}}=>[3,7,5,4,1,6,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(3,6),(4,6)],7) {{1,6},{2},{3,5},{4,7}}=>{{1,4},{2,7},{3,5},{6}}=>[4,7,5,1,3,6,2]=>([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7) {{1,6},{2},{3,5},{4},{7}}=>{{1},{2,7},{3,5},{4},{6}}=>[1,7,5,4,3,6,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6)],7) {{1,7},{2,6},{3,5},{4}}=>{{1,7},{2,6},{3,5},{4}}=>[7,6,5,4,3,2,1]=>([],7) {{1},{2,6,7},{3,5},{4}}=>{{1,2,6},{3,5},{4},{7}}=>[2,6,5,4,3,1,7]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) {{1},{2,6},{3,5,7},{4}}=>{{1,3,5},{2,6},{4},{7}}=>[3,6,5,4,1,2,7]=>([(0,5),(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(5,6)],7) {{1},{2,6},{3,5},{4,7}}=>{{1,4},{2,6},{3,5},{7}}=>[4,6,5,1,3,2,7]=>([(0,4),(0,5),(1,2),(1,3),(2,6),(3,6),(4,6),(5,6)],7) {{1},{2,6},{3,5},{4},{7}}=>{{1},{2,6},{3,5},{4},{7}}=>[1,6,5,4,3,2,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7) {{1,7},{2},{3,5,6},{4}}=>{{1,7},{2,3,5},{4},{6}}=>[7,3,5,4,2,6,1]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7) {{1},{2,7},{3,5,6},{4}}=>{{1,6},{2,3,5},{4},{7}}=>[6,3,5,4,2,1,7]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) {{1},{2},{3,5,6,7},{4}}=>{{1,2,3,5},{4},{6},{7}}=>[2,3,5,4,1,6,7]=>([(0,6),(1,5),(2,6),(3,6),(5,2),(5,3),(6,4)],7) {{1},{2},{3,5,6},{4,7}}=>{{1,4},{2,3,5},{6},{7}}=>[4,3,5,1,2,6,7]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7) {{1},{2},{3,5,6},{4},{7}}=>{{1},{2,3,5},{4},{6},{7}}=>[1,3,5,4,2,6,7]=>([(0,4),(0,5),(1,6),(2,6),(4,6),(5,1),(5,2),(6,3)],7) {{1,7},{2},{3,5},{4,6}}=>{{1,7},{2,4},{3,5},{6}}=>[7,4,5,2,3,6,1]=>([(2,5),(3,4),(4,6),(5,6)],7) {{1},{2,7},{3,5},{4,6}}=>{{1,6},{2,4},{3,5},{7}}=>[6,4,5,2,3,1,7]=>([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) {{1},{2},{3,5,7},{4,6}}=>{{1,3,5},{2,4},{6},{7}}=>[3,4,5,2,1,6,7]=>([(0,6),(1,6),(2,3),(3,5),(5,6),(6,4)],7) {{1},{2},{3,5},{4,6,7}}=>{{1,2,4},{3,5},{6},{7}}=>[2,4,5,1,3,6,7]=>([(0,5),(1,4),(1,5),(3,6),(4,3),(5,6),(6,2)],7) {{1},{2},{3,5},{4,6},{7}}=>{{1},{2,4},{3,5},{6},{7}}=>[1,4,5,2,3,6,7]=>([(0,4),(0,5),(1,6),(2,6),(4,2),(5,1),(6,3)],7) {{1,7},{2},{3,5},{4},{6}}=>{{1,7},{2},{3,5},{4},{6}}=>[7,2,5,4,3,6,1]=>([(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) {{1},{2,7},{3,5},{4},{6}}=>{{1,6},{2},{3,5},{4},{7}}=>[6,2,5,4,3,1,7]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) {{1},{2},{3,5,7},{4},{6}}=>{{1,3,5},{2},{4},{6},{7}}=>[3,2,5,4,1,6,7]=>([(0,6),(1,4),(1,5),(2,4),(2,5),(4,6),(5,6),(6,3)],7) {{1},{2},{3,5},{4,7},{6}}=>{{1,4},{2},{3,5},{6},{7}}=>[4,2,5,1,3,6,7]=>([(0,5),(1,4),(2,4),(2,5),(4,6),(5,6),(6,3)],7) {{1},{2},{3,5},{4},{6,7}}=>{{1,2},{3,5},{4},{6},{7}}=>[2,1,5,4,3,6,7]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6),(6,2)],7) {{1},{2},{3,5},{4},{6},{7}}=>{{1},{2},{3,5},{4},{6},{7}}=>[1,2,5,4,3,6,7]=>([(0,5),(1,6),(2,6),(3,6),(5,1),(5,2),(5,3),(6,4)],7) {{1,6,7},{2},{3},{4,5}}=>{{1,2,7},{3,4},{5},{6}}=>[2,7,4,3,5,6,1]=>([(1,2),(1,3),(1,4),(3,6),(4,6),(6,5)],7) {{1,6},{2,7},{3},{4,5}}=>{{1,6},{2,7},{3,4},{5}}=>[6,7,4,3,5,1,2]=>([(0,6),(1,6),(2,5),(3,4)],7) {{1,6},{2},{3,7},{4,5}}=>{{1,5},{2,7},{3,4},{6}}=>[5,7,4,3,1,6,2]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6)],7) {{1,6},{2},{3},{4,5,7}}=>{{1,3,4},{2,7},{5},{6}}=>[3,7,4,1,5,6,2]=>([(0,5),(0,6),(1,2),(1,3),(3,6),(6,4)],7) {{1,6},{2},{3},{4,5},{7}}=>{{1},{2,7},{3,4},{5},{6}}=>[1,7,4,3,5,6,2]=>([(0,2),(0,3),(0,4),(0,5),(4,6),(5,6),(6,1)],7) {{1,7},{2,6},{3},{4,5}}=>{{1,7},{2,6},{3,4},{5}}=>[7,6,4,3,5,2,1]=>([(4,6),(5,6)],7) {{1},{2,6,7},{3},{4,5}}=>{{1,2,6},{3,4},{5},{7}}=>[2,6,4,3,5,1,7]=>([(0,6),(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(5,6)],7) {{1},{2,6},{3,7},{4,5}}=>{{1,5},{2,6},{3,4},{7}}=>[5,6,4,3,1,2,7]=>([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) {{1},{2,6},{3},{4,5,7}}=>{{1,3,4},{2,6},{5},{7}}=>[3,6,4,1,5,2,7]=>([(0,4),(0,5),(1,2),(1,3),(2,6),(3,5),(4,6),(5,6)],7) {{1},{2,6},{3},{4,5},{7}}=>{{1},{2,6},{3,4},{5},{7}}=>[1,6,4,3,5,2,7]=>([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(5,6)],7) {{1,7},{2},{3,6},{4,5}}=>{{1,7},{2,5},{3,4},{6}}=>[7,5,4,3,2,6,1]=>([(2,6),(3,6),(4,6),(5,6)],7) {{1},{2,7},{3,6},{4,5}}=>{{1,6},{2,5},{3,4},{7}}=>[6,5,4,3,2,1,7]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) {{1},{2},{3,6,7},{4,5}}=>{{1,2,5},{3,4},{6},{7}}=>[2,5,4,3,1,6,7]=>([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7) {{1},{2},{3,6},{4,5,7}}=>{{1,3,4},{2,5},{6},{7}}=>[3,5,4,1,2,6,7]=>([(0,5),(1,2),(1,3),(2,6),(3,6),(5,6),(6,4)],7) {{1},{2},{3,6},{4,5},{7}}=>{{1},{2,5},{3,4},{6},{7}}=>[1,5,4,3,2,6,7]=>([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6),(6,1)],7) {{1,7},{2},{3},{4,5,6}}=>{{1,7},{2,3,4},{5},{6}}=>[7,3,4,2,5,6,1]=>([(2,6),(3,4),(4,6),(6,5)],7) {{1},{2,7},{3},{4,5,6}}=>{{1,6},{2,3,4},{5},{7}}=>[6,3,4,2,5,1,7]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(5,6)],7) {{1},{2},{3,7},{4,5,6}}=>{{1,5},{2,3,4},{6},{7}}=>[5,3,4,2,1,6,7]=>([(0,6),(1,6),(2,6),(3,4),(4,6),(6,5)],7) {{1},{2},{3},{4,5,6,7}}=>{{1,2,3,4},{5},{6},{7}}=>[2,3,4,1,5,6,7]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7) {{1},{2},{3},{4,5,6},{7}}=>{{1},{2,3,4},{5},{6},{7}}=>[1,3,4,2,5,6,7]=>([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7) {{1,7},{2},{3},{4,5},{6}}=>{{1,7},{2},{3,4},{5},{6}}=>[7,2,4,3,5,6,1]=>([(2,3),(2,4),(3,6),(4,6),(6,5)],7) {{1},{2,7},{3},{4,5},{6}}=>{{1,6},{2},{3,4},{5},{7}}=>[6,2,4,3,5,1,7]=>([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7) {{1},{2},{3,7},{4,5},{6}}=>{{1,5},{2},{3,4},{6},{7}}=>[5,2,4,3,1,6,7]=>([(0,6),(1,6),(2,3),(2,4),(3,6),(4,6),(6,5)],7) {{1},{2},{3},{4,5,7},{6}}=>{{1,3,4},{2},{5},{6},{7}}=>[3,2,4,1,5,6,7]=>([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7) {{1},{2},{3},{4,5},{6,7}}=>{{1,2},{3,4},{5},{6},{7}}=>[2,1,4,3,5,6,7]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(4,2),(5,4),(6,4)],7) {{1},{2},{3},{4,5},{6},{7}}=>{{1},{2},{3,4},{5},{6},{7}}=>[1,2,4,3,5,6,7]=>([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7) {{1,6,7},{2},{3},{4},{5}}=>{{1,2,7},{3},{4},{5},{6}}=>[2,7,3,4,5,6,1]=>([(1,3),(1,6),(4,5),(5,2),(6,4)],7) {{1,6},{2,7},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}=>[6,7,3,4,5,1,2]=>([(0,5),(1,4),(2,6),(6,3)],7) {{1,6},{2},{3,7},{4},{5}}=>{{1,5},{2,7},{3},{4},{6}}=>[5,7,3,4,1,6,2]=>([(0,5),(1,4),(1,6),(2,3),(2,6),(5,6)],7) {{1,6},{2},{3},{4,7},{5}}=>{{1,4},{2,7},{3},{5},{6}}=>[4,7,3,1,5,6,2]=>([(0,6),(1,4),(1,6),(2,3),(2,6),(6,5)],7) {{1,6},{2},{3},{4},{5,7}}=>{{1,3},{2,7},{4},{5},{6}}=>[3,7,1,4,5,6,2]=>([(0,4),(0,6),(1,3),(1,6),(5,2),(6,5)],7) {{1,6},{2},{3},{4},{5},{7}}=>{{1},{2,7},{3},{4},{5},{6}}=>[1,7,3,4,5,6,2]=>([(0,2),(0,3),(0,6),(4,5),(5,1),(6,4)],7) {{1,7},{2,6},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}=>[7,6,3,4,5,2,1]=>([(4,5),(5,6)],7) {{1},{2,6,7},{3},{4},{5}}=>{{1,2,6},{3},{4},{5},{7}}=>[2,6,3,4,5,1,7]=>([(0,6),(1,3),(1,5),(2,6),(3,6),(4,2),(5,4)],7) {{1},{2,6},{3,7},{4},{5}}=>{{1,5},{2,6},{3},{4},{7}}=>[5,6,3,4,1,2,7]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) {{1},{2,6},{3},{4,7},{5}}=>{{1,4},{2,6},{3},{5},{7}}=>[4,6,3,1,5,2,7]=>([(0,5),(1,4),(1,5),(2,3),(2,5),(3,6),(4,6),(5,6)],7) {{1},{2,6},{3},{4},{5,7}}=>{{1,3},{2,6},{4},{5},{7}}=>[3,6,1,4,5,2,7]=>([(0,4),(0,5),(1,3),(1,5),(2,6),(3,6),(4,6),(5,2)],7) {{1},{2,6},{3},{4},{5},{7}}=>{{1},{2,6},{3},{4},{5},{7}}=>[1,6,3,4,5,2,7]=>([(0,2),(0,3),(0,5),(1,6),(2,6),(3,6),(4,1),(5,4)],7) {{1,7},{2},{3,6},{4},{5}}=>{{1,7},{2,5},{3},{4},{6}}=>[7,5,3,4,2,6,1]=>([(2,6),(3,6),(4,5),(5,6)],7) {{1},{2,7},{3,6},{4},{5}}=>{{1,6},{2,5},{3},{4},{7}}=>[6,5,3,4,2,1,7]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) {{1},{2},{3,6,7},{4},{5}}=>{{1,2,5},{3},{4},{6},{7}}=>[2,5,3,4,1,6,7]=>([(0,6),(1,3),(1,5),(2,6),(3,6),(5,2),(6,4)],7) {{1},{2},{3,6},{4,7},{5}}=>{{1,4},{2,5},{3},{6},{7}}=>[4,5,3,1,2,6,7]=>([(0,6),(1,4),(2,3),(3,6),(4,6),(6,5)],7) {{1},{2},{3,6},{4},{5,7}}=>{{1,3},{2,5},{4},{6},{7}}=>[3,5,1,4,2,6,7]=>([(0,4),(0,5),(1,3),(1,5),(3,6),(4,6),(5,6),(6,2)],7) {{1},{2},{3,6},{4},{5},{7}}=>{{1},{2,5},{3},{4},{6},{7}}=>[1,5,3,4,2,6,7]=>([(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1),(6,2)],7) {{1,7},{2},{3},{4,6},{5}}=>{{1,7},{2,4},{3},{5},{6}}=>[7,4,3,2,5,6,1]=>([(2,6),(3,6),(4,6),(6,5)],7) {{1},{2,7},{3},{4,6},{5}}=>{{1,6},{2,4},{3},{5},{7}}=>[6,4,3,2,5,1,7]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7) {{1},{2},{3,7},{4,6},{5}}=>{{1,5},{2,4},{3},{6},{7}}=>[5,4,3,2,1,6,7]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7) {{1},{2},{3},{4,6,7},{5}}=>{{1,2,4},{3},{5},{6},{7}}=>[2,4,3,1,5,6,7]=>([(0,6),(1,3),(1,4),(3,6),(4,6),(5,2),(6,5)],7) {{1},{2},{3},{4,6},{5,7}}=>{{1,3},{2,4},{5},{6},{7}}=>[3,4,1,2,5,6,7]=>([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7) {{1},{2},{3},{4,6},{5},{7}}=>{{1},{2,4},{3},{5},{6},{7}}=>[1,4,3,2,5,6,7]=>([(0,2),(0,3),(0,4),(2,6),(3,6),(4,6),(5,1),(6,5)],7) {{1,7},{2},{3},{4},{5,6}}=>{{1,7},{2,3},{4},{5},{6}}=>[7,3,2,4,5,6,1]=>([(2,6),(3,6),(4,5),(6,4)],7) {{1},{2,7},{3},{4},{5,6}}=>{{1,6},{2,3},{4},{5},{7}}=>[6,3,2,4,5,1,7]=>([(0,6),(1,6),(2,5),(3,5),(4,6),(5,4)],7) {{1},{2},{3,7},{4},{5,6}}=>{{1,5},{2,3},{4},{6},{7}}=>[5,3,2,4,1,6,7]=>([(0,6),(1,6),(2,5),(3,5),(5,6),(6,4)],7) {{1},{2},{3},{4,7},{5,6}}=>{{1,4},{2,3},{5},{6},{7}}=>[4,3,2,1,5,6,7]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(6,4)],7) {{1},{2},{3},{4},{5,6,7}}=>{{1,2,3},{4},{5},{6},{7}}=>[2,3,1,4,5,6,7]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7) {{1},{2},{3},{4},{5,6},{7}}=>{{1},{2,3},{4},{5},{6},{7}}=>[1,3,2,4,5,6,7]=>([(0,2),(0,3),(2,6),(3,6),(4,1),(5,4),(6,5)],7) {{1,7},{2},{3},{4},{5},{6}}=>{{1,7},{2},{3},{4},{5},{6}}=>[7,2,3,4,5,6,1]=>([(2,6),(4,5),(5,3),(6,4)],7) {{1},{2,7},{3},{4},{5},{6}}=>{{1,6},{2},{3},{4},{5},{7}}=>[6,2,3,4,5,1,7]=>([(0,3),(1,6),(2,6),(3,5),(4,6),(5,4)],7) {{1},{2},{3,7},{4},{5},{6}}=>{{1,5},{2},{3},{4},{6},{7}}=>[5,2,3,4,1,6,7]=>([(0,6),(1,6),(2,3),(3,5),(5,6),(6,4)],7) {{1},{2},{3},{4,7},{5},{6}}=>{{1,4},{2},{3},{5},{6},{7}}=>[4,2,3,1,5,6,7]=>([(0,6),(1,6),(2,3),(3,6),(4,5),(6,4)],7) {{1},{2},{3},{4},{5,7},{6}}=>{{1,3},{2},{4},{5},{6},{7}}=>[3,2,1,4,5,6,7]=>([(0,6),(1,6),(2,6),(3,5),(5,4),(6,3)],7) {{1},{2},{3},{4},{5},{6,7}}=>{{1,2},{3},{4},{5},{6},{7}}=>[2,1,3,4,5,6,7]=>([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7) {{1},{2},{3},{4},{5},{6},{7}}=>{{1},{2},{3},{4},{5},{6},{7}}=>[1,2,3,4,5,6,7]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) {{1,2},{3,4},{5,6},{7,8}}=>{{1,2},{3,4},{5,6},{7,8}}=>[2,1,4,3,6,5,8,7]=>([(0,6),(0,7),(1,6),(1,7),(4,2),(4,3),(5,2),(5,3),(6,4),(6,5),(7,4),(7,5)],8) {{1,3},{2,4},{5,6},{7,8}}=>{{1,2},{3,4},{5,7},{6,8}}=>[2,1,4,3,7,8,5,6]=>([(0,6),(0,7),(1,6),(1,7),(4,3),(5,2),(6,4),(6,5),(7,4),(7,5)],8) {{1,4},{2,3},{5,6},{7,8}}=>{{1,2},{3,4},{5,8},{6,7}}=>[2,1,4,3,8,7,6,5]=>([(0,6),(0,7),(1,6),(1,7),(6,2),(6,3),(6,4),(6,5),(7,2),(7,3),(7,4),(7,5)],8) {{1,5},{2,3},{4,6},{7,8}}=>{{1,2},{3,5},{4,8},{6,7}}=>[2,1,5,8,3,7,6,4]=>([(0,6),(0,7),(1,6),(1,7),(6,3),(6,4),(6,5),(7,2),(7,4),(7,5)],8) {{1,6},{2,3},{4,5},{7,8}}=>{{1,2},{3,8},{4,5},{6,7}}=>[2,1,8,5,4,7,6,3]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,2),(6,3),(7,2),(7,3)],8) {{1,7},{2,3},{4,5},{6,8}}=>{{1,3},{2,8},{4,5},{6,7}}=>[3,8,1,5,4,7,6,2]=>([(0,3),(0,6),(0,7),(1,2),(1,6),(1,7),(6,4),(6,5),(7,4),(7,5)],8) {{1,8},{2,3},{4,5},{6,7}}=>{{1,8},{2,3},{4,5},{6,7}}=>[8,3,2,5,4,7,6,1]=>([(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) {{1,8},{2,4},{3,5},{6,7}}=>{{1,8},{2,3},{4,6},{5,7}}=>[8,3,2,6,7,4,5,1]=>([(2,6),(2,7),(3,6),(3,7),(6,5),(7,4)],8) {{1,7},{2,4},{3,5},{6,8}}=>{{1,3},{2,8},{4,6},{5,7}}=>[3,8,1,6,7,4,5,2]=>([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(6,3),(7,2)],8) {{1,6},{2,4},{3,5},{7,8}}=>{{1,2},{3,8},{4,6},{5,7}}=>[2,1,8,6,7,4,5,3]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,3),(7,2)],8) {{1,5},{2,4},{3,6},{7,8}}=>{{1,2},{3,6},{4,8},{5,7}}=>[2,1,6,8,7,3,5,4]=>([(0,6),(0,7),(1,6),(1,7),(6,4),(6,5),(7,2),(7,3)],8) {{1,4},{2,5},{3,6},{7,8}}=>{{1,2},{3,6},{4,7},{5,8}}=>[2,1,6,7,8,3,4,5]=>([(0,6),(0,7),(1,6),(1,7),(4,3),(5,2),(6,4),(7,5)],8) {{1,3},{2,5},{4,6},{7,8}}=>{{1,2},{3,5},{4,7},{6,8}}=>[2,1,5,7,3,8,4,6]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(6,3),(6,5),(7,2),(7,4)],8) {{1,2},{3,5},{4,6},{7,8}}=>{{1,2},{3,5},{4,6},{7,8}}=>[2,1,5,6,3,4,8,7]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(6,3),(7,2)],8) {{1,2},{3,6},{4,5},{7,8}}=>{{1,2},{3,6},{4,5},{7,8}}=>[2,1,6,5,4,3,8,7]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) {{1,3},{2,6},{4,5},{7,8}}=>{{1,2},{3,7},{4,5},{6,8}}=>[2,1,7,5,4,8,3,6]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) {{1,4},{2,6},{3,5},{7,8}}=>{{1,2},{3,7},{4,6},{5,8}}=>[2,1,7,6,8,4,3,5]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(4,3),(5,3),(6,2),(7,2)],8) {{1,5},{2,6},{3,4},{7,8}}=>{{1,2},{3,7},{4,8},{5,6}}=>[2,1,7,8,6,5,3,4]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,3),(7,2)],8) {{1,6},{2,5},{3,4},{7,8}}=>{{1,2},{3,8},{4,7},{5,6}}=>[2,1,8,7,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) {{1,7},{2,5},{3,4},{6,8}}=>{{1,3},{2,8},{4,7},{5,6}}=>[3,8,1,7,6,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7)],8) {{1,8},{2,5},{3,4},{6,7}}=>{{1,8},{2,3},{4,7},{5,6}}=>[8,3,2,7,6,5,4,1]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) {{1,8},{2,6},{3,4},{5,7}}=>{{1,8},{2,4},{3,7},{5,6}}=>[8,4,7,2,6,5,3,1]=>([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) {{1,7},{2,6},{3,4},{5,8}}=>{{1,4},{2,8},{3,7},{5,6}}=>[4,8,7,1,6,5,3,2]=>([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7)],8) {{1,6},{2,7},{3,4},{5,8}}=>{{1,4},{2,7},{3,8},{5,6}}=>[4,7,8,1,6,5,2,3]=>([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(4,2),(5,3)],8) {{1,5},{2,7},{3,4},{6,8}}=>{{1,3},{2,7},{4,8},{5,6}}=>[3,7,1,8,6,5,2,4]=>([(0,3),(0,5),(0,6),(0,7),(1,2),(1,4),(1,6),(1,7),(2,5),(3,4)],8) {{1,4},{2,7},{3,5},{6,8}}=>{{1,3},{2,7},{4,6},{5,8}}=>[3,7,1,6,8,4,2,5]=>([(0,3),(0,6),(0,7),(1,2),(1,6),(1,7),(2,4),(3,5),(6,4),(7,5)],8) {{1,3},{2,7},{4,5},{6,8}}=>{{1,3},{2,7},{4,5},{6,8}}=>[3,7,1,5,4,8,2,6]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) {{1,2},{3,7},{4,5},{6,8}}=>{{1,3},{2,6},{4,5},{7,8}}=>[3,6,1,5,4,2,8,7]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) {{1,2},{3,8},{4,5},{6,7}}=>{{1,6},{2,3},{4,5},{7,8}}=>[6,3,2,5,4,1,8,7]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) {{1,3},{2,8},{4,5},{6,7}}=>{{1,7},{2,3},{4,5},{6,8}}=>[7,3,2,5,4,8,1,6]=>([(0,7),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) {{1,4},{2,8},{3,5},{6,7}}=>{{1,7},{2,3},{4,6},{5,8}}=>[7,3,2,6,8,4,1,5]=>([(0,7),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,7)],8) {{1,5},{2,8},{3,4},{6,7}}=>{{1,7},{2,3},{4,8},{5,6}}=>[7,3,2,8,6,5,1,4]=>([(0,7),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) {{1,6},{2,8},{3,4},{5,7}}=>{{1,7},{2,4},{3,8},{5,6}}=>[7,4,8,2,6,5,1,3]=>([(0,5),(1,4),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8) {{1,7},{2,8},{3,4},{5,6}}=>{{1,7},{2,8},{3,4},{5,6}}=>[7,8,4,3,6,5,1,2]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4)],8) {{1,8},{2,7},{3,4},{5,6}}=>{{1,8},{2,7},{3,4},{5,6}}=>[8,7,4,3,6,5,2,1]=>([(4,6),(4,7),(5,6),(5,7)],8) {{1,8},{2,7},{3,5},{4,6}}=>{{1,8},{2,7},{3,5},{4,6}}=>[8,7,5,6,3,4,2,1]=>([(4,7),(5,6)],8) {{1,7},{2,8},{3,5},{4,6}}=>{{1,7},{2,8},{3,5},{4,6}}=>[7,8,5,6,3,4,1,2]=>([(0,7),(1,6),(2,5),(3,4)],8) {{1,6},{2,8},{3,5},{4,7}}=>{{1,7},{2,5},{3,8},{4,6}}=>[7,5,8,6,2,4,1,3]=>([(0,7),(1,6),(2,4),(2,6),(3,5),(3,7)],8) {{1,5},{2,8},{3,6},{4,7}}=>{{1,7},{2,5},{3,6},{4,8}}=>[7,5,6,8,2,3,1,4]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7)],8) {{1,4},{2,8},{3,6},{5,7}}=>{{1,7},{2,4},{3,6},{5,8}}=>[7,4,6,2,8,3,1,5]=>([(0,7),(1,6),(2,5),(2,6),(3,4),(3,7),(4,6),(5,7)],8) {{1,3},{2,8},{4,6},{5,7}}=>{{1,7},{2,4},{3,5},{6,8}}=>[7,4,5,2,3,8,1,6]=>([(0,7),(1,6),(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8) {{1,2},{3,8},{4,6},{5,7}}=>{{1,6},{2,4},{3,5},{7,8}}=>[6,4,5,2,3,1,8,7]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8) {{1,2},{3,7},{4,6},{5,8}}=>{{1,4},{2,6},{3,5},{7,8}}=>[4,6,5,1,3,2,8,7]=>([(0,4),(0,5),(1,2),(1,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) {{1,3},{2,7},{4,6},{5,8}}=>{{1,4},{2,7},{3,5},{6,8}}=>[4,7,5,1,3,8,2,6]=>([(0,3),(0,5),(1,2),(1,4),(2,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) {{1,4},{2,7},{3,6},{5,8}}=>{{1,4},{2,7},{3,6},{5,8}}=>[4,7,6,1,8,3,2,5]=>([(0,4),(0,5),(0,7),(1,2),(1,3),(1,6),(2,7),(3,7),(4,6),(5,6)],8) {{1,5},{2,7},{3,6},{4,8}}=>{{1,5},{2,7},{3,6},{4,8}}=>[5,7,6,8,1,3,2,4]=>([(0,4),(0,5),(1,2),(1,3),(2,6),(3,6),(4,7),(5,7)],8) {{1,6},{2,7},{3,5},{4,8}}=>{{1,5},{2,7},{3,8},{4,6}}=>[5,7,8,6,1,4,2,3]=>([(0,5),(0,7),(1,4),(1,6),(6,2),(7,3)],8) {{1,7},{2,6},{3,5},{4,8}}=>{{1,5},{2,8},{3,7},{4,6}}=>[5,8,7,6,1,4,3,2]=>([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4)],8) {{1,8},{2,6},{3,5},{4,7}}=>{{1,8},{2,5},{3,7},{4,6}}=>[8,5,7,6,2,4,3,1]=>([(2,6),(2,7),(3,4),(3,5)],8) {{1,8},{2,5},{3,6},{4,7}}=>{{1,8},{2,5},{3,6},{4,7}}=>[8,5,6,7,2,3,4,1]=>([(2,5),(3,4),(4,6),(5,7)],8) {{1,7},{2,5},{3,6},{4,8}}=>{{1,5},{2,8},{3,6},{4,7}}=>[5,8,6,7,1,3,4,2]=>([(0,5),(0,7),(1,4),(1,6),(6,2),(7,3)],8) {{1,6},{2,5},{3,7},{4,8}}=>{{1,5},{2,6},{3,8},{4,7}}=>[5,6,8,7,1,2,4,3]=>([(0,7),(1,6),(6,2),(6,3),(7,4),(7,5)],8) {{1,5},{2,6},{3,7},{4,8}}=>{{1,5},{2,6},{3,7},{4,8}}=>[5,6,7,8,1,2,3,4]=>([(0,7),(1,6),(4,2),(5,3),(6,4),(7,5)],8) {{1,4},{2,6},{3,7},{5,8}}=>{{1,4},{2,6},{3,7},{5,8}}=>[4,6,7,1,8,2,3,5]=>([(0,5),(0,7),(1,4),(1,6),(2,7),(3,6),(4,2),(5,3)],8) {{1,3},{2,6},{4,7},{5,8}}=>{{1,4},{2,5},{3,7},{6,8}}=>[4,5,7,1,2,8,3,6]=>([(0,5),(1,4),(2,7),(3,6),(4,2),(4,6),(5,3),(5,7)],8) {{1,2},{3,6},{4,7},{5,8}}=>{{1,4},{2,5},{3,6},{7,8}}=>[4,5,6,1,2,3,8,7]=>([(0,5),(1,4),(2,6),(2,7),(3,6),(3,7),(4,2),(5,3)],8) {{1,2},{3,5},{4,7},{6,8}}=>{{1,3},{2,5},{4,6},{7,8}}=>[3,5,1,6,2,4,8,7]=>([(0,3),(0,7),(1,2),(1,6),(2,7),(3,6),(6,4),(6,5),(7,4),(7,5)],8) {{1,3},{2,5},{4,7},{6,8}}=>{{1,3},{2,5},{4,7},{6,8}}=>[3,5,1,7,2,8,4,6]=>([(0,3),(0,7),(1,2),(1,6),(2,4),(2,7),(3,5),(3,6),(6,4),(7,5)],8) {{1,4},{2,5},{3,7},{6,8}}=>{{1,3},{2,6},{4,7},{5,8}}=>[3,6,1,7,8,2,4,5]=>([(0,5),(0,7),(1,4),(1,6),(4,7),(5,6),(6,2),(7,3)],8) {{1,5},{2,4},{3,7},{6,8}}=>{{1,3},{2,6},{4,8},{5,7}}=>[3,6,1,8,7,2,5,4]=>([(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(2,6),(2,7),(3,4),(3,5)],8) {{1,6},{2,4},{3,7},{5,8}}=>{{1,4},{2,6},{3,8},{5,7}}=>[4,6,8,1,7,2,5,3]=>([(0,5),(0,7),(1,4),(1,6),(4,2),(4,7),(5,3),(5,6)],8) {{1,7},{2,4},{3,6},{5,8}}=>{{1,4},{2,8},{3,6},{5,7}}=>[4,8,6,1,7,3,5,2]=>([(0,3),(0,5),(0,7),(1,2),(1,4),(1,6),(4,7),(5,6)],8) {{1,8},{2,4},{3,6},{5,7}}=>{{1,8},{2,4},{3,6},{5,7}}=>[8,4,6,2,7,3,5,1]=>([(2,5),(2,7),(3,4),(3,6),(4,7),(5,6)],8) {{1,8},{2,3},{4,6},{5,7}}=>{{1,8},{2,4},{3,5},{6,7}}=>[8,4,5,2,3,7,6,1]=>([(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8) {{1,7},{2,3},{4,6},{5,8}}=>{{1,4},{2,8},{3,5},{6,7}}=>[4,8,5,1,3,7,6,2]=>([(0,3),(0,5),(1,2),(1,4),(4,6),(4,7),(5,6),(5,7)],8) {{1,6},{2,3},{4,7},{5,8}}=>{{1,4},{2,5},{3,8},{6,7}}=>[4,5,8,1,2,7,6,3]=>([(0,5),(1,4),(4,2),(4,6),(4,7),(5,3),(5,6),(5,7)],8) {{1,5},{2,3},{4,7},{6,8}}=>{{1,3},{2,5},{4,8},{6,7}}=>[3,5,1,8,2,7,6,4]=>([(0,3),(0,7),(1,2),(1,6),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6)],8) {{1,4},{2,3},{5,7},{6,8}}=>{{1,3},{2,4},{5,8},{6,7}}=>[3,4,1,2,8,7,6,5]=>([(0,3),(1,2),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) {{1,3},{2,4},{5,7},{6,8}}=>{{1,3},{2,4},{5,7},{6,8}}=>[3,4,1,2,7,8,5,6]=>([(0,5),(1,4),(4,6),(4,7),(5,6),(5,7),(6,3),(7,2)],8) {{1,2},{3,4},{5,7},{6,8}}=>{{1,3},{2,4},{5,6},{7,8}}=>[3,4,1,2,6,5,8,7]=>([(0,3),(1,2),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8) {{1,2},{3,4},{5,8},{6,7}}=>{{1,4},{2,3},{5,6},{7,8}}=>[4,3,2,1,6,5,8,7]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8) {{1,3},{2,4},{5,8},{6,7}}=>{{1,4},{2,3},{5,7},{6,8}}=>[4,3,2,1,7,8,5,6]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(6,5),(7,4)],8) {{1,4},{2,3},{5,8},{6,7}}=>{{1,4},{2,3},{5,8},{6,7}}=>[4,3,2,1,8,7,6,5]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) {{1,5},{2,3},{4,8},{6,7}}=>{{1,5},{2,3},{4,8},{6,7}}=>[5,3,2,8,1,7,6,4]=>([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) {{1,6},{2,3},{4,8},{5,7}}=>{{1,5},{2,4},{3,8},{6,7}}=>[5,4,8,2,1,7,6,3]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7)],8) {{1,7},{2,3},{4,8},{5,6}}=>{{1,5},{2,8},{3,4},{6,7}}=>[5,8,4,3,1,7,6,2]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) {{1,8},{2,3},{4,7},{5,6}}=>{{1,8},{2,5},{3,4},{6,7}}=>[8,5,4,3,2,7,6,1]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) {{1,8},{2,4},{3,7},{5,6}}=>{{1,8},{2,6},{3,4},{5,7}}=>[8,6,4,3,7,2,5,1]=>([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) {{1,7},{2,4},{3,8},{5,6}}=>{{1,6},{2,8},{3,4},{5,7}}=>[6,8,4,3,7,1,5,2]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6)],8) {{1,6},{2,4},{3,8},{5,7}}=>{{1,6},{2,4},{3,8},{5,7}}=>[6,4,8,2,7,1,5,3]=>([(0,5),(0,7),(1,4),(1,6),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8) {{1,5},{2,4},{3,8},{6,7}}=>{{1,6},{2,3},{4,8},{5,7}}=>[6,3,2,8,7,1,5,4]=>([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) {{1,4},{2,5},{3,8},{6,7}}=>{{1,6},{2,3},{4,7},{5,8}}=>[6,3,2,7,8,1,4,5]=>([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(6,4),(7,5)],8) {{1,3},{2,5},{4,8},{6,7}}=>{{1,5},{2,3},{4,7},{6,8}}=>[5,3,2,7,1,8,4,6]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6),(6,5),(7,4)],8) {{1,2},{3,5},{4,8},{6,7}}=>{{1,5},{2,3},{4,6},{7,8}}=>[5,3,2,6,1,4,8,7]=>([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8) {{1,2},{3,6},{4,8},{5,7}}=>{{1,5},{2,4},{3,6},{7,8}}=>[5,4,6,2,1,3,8,7]=>([(0,5),(1,5),(2,4),(3,4),(4,6),(4,7),(5,6),(5,7)],8) {{1,3},{2,6},{4,8},{5,7}}=>{{1,5},{2,4},{3,7},{6,8}}=>[5,4,7,2,1,8,3,6]=>([(0,5),(0,7),(1,5),(1,7),(2,4),(2,6),(3,4),(3,6),(4,7),(5,6)],8) {{1,4},{2,6},{3,8},{5,7}}=>{{1,6},{2,4},{3,7},{5,8}}=>[6,4,7,2,8,1,3,5]=>([(0,5),(1,4),(2,4),(2,7),(3,5),(3,6),(4,6),(5,7)],8) {{1,5},{2,6},{3,8},{4,7}}=>{{1,6},{2,5},{3,7},{4,8}}=>[6,5,7,8,2,1,3,4]=>([(0,6),(1,6),(2,7),(3,7),(6,5),(7,4)],8) {{1,6},{2,5},{3,8},{4,7}}=>{{1,6},{2,5},{3,8},{4,7}}=>[6,5,8,7,2,1,4,3]=>([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7)],8) {{1,7},{2,5},{3,8},{4,6}}=>{{1,6},{2,8},{3,5},{4,7}}=>[6,8,5,7,3,1,4,2]=>([(0,7),(1,6),(2,4),(2,6),(3,5),(3,7)],8) {{1,8},{2,5},{3,7},{4,6}}=>{{1,8},{2,6},{3,5},{4,7}}=>[8,6,5,7,3,2,4,1]=>([(2,7),(3,7),(4,6),(5,6)],8) {{1,8},{2,6},{3,7},{4,5}}=>{{1,8},{2,6},{3,7},{4,5}}=>[8,6,7,5,4,2,3,1]=>([(4,7),(5,6)],8) {{1,7},{2,6},{3,8},{4,5}}=>{{1,6},{2,8},{3,7},{4,5}}=>[6,8,7,5,4,1,3,2]=>([(2,6),(2,7),(3,4),(3,5)],8) {{1,6},{2,7},{3,8},{4,5}}=>{{1,6},{2,7},{3,8},{4,5}}=>[6,7,8,5,4,1,2,3]=>([(2,5),(3,4),(4,6),(5,7)],8) {{1,5},{2,7},{3,8},{4,6}}=>{{1,6},{2,7},{3,5},{4,8}}=>[6,7,5,8,3,1,2,4]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7)],8) {{1,4},{2,7},{3,8},{5,6}}=>{{1,6},{2,7},{3,4},{5,8}}=>[6,7,4,3,8,1,2,5]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(4,6),(5,7)],8) {{1,3},{2,7},{4,8},{5,6}}=>{{1,5},{2,7},{3,4},{6,8}}=>[5,7,4,3,1,8,2,6]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6),(4,7),(5,6)],8) {{1,2},{3,7},{4,8},{5,6}}=>{{1,5},{2,6},{3,4},{7,8}}=>[5,6,4,3,1,2,8,7]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8) {{1,2},{3,8},{4,7},{5,6}}=>{{1,6},{2,5},{3,4},{7,8}}=>[6,5,4,3,2,1,8,7]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) {{1,3},{2,8},{4,7},{5,6}}=>{{1,7},{2,5},{3,4},{6,8}}=>[7,5,4,3,2,8,1,6]=>([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) {{1,4},{2,8},{3,7},{5,6}}=>{{1,7},{2,6},{3,4},{5,8}}=>[7,6,4,3,8,2,1,5]=>([(0,7),(1,7),(2,6),(3,6),(4,6),(4,7),(5,6),(5,7)],8) {{1,5},{2,8},{3,7},{4,6}}=>{{1,7},{2,6},{3,5},{4,8}}=>[7,6,5,8,3,2,1,4]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6)],8) {{1,6},{2,8},{3,7},{4,5}}=>{{1,7},{2,6},{3,8},{4,5}}=>[7,6,8,5,4,2,1,3]=>([(2,7),(3,7),(4,6),(5,6)],8) {{1,7},{2,8},{3,6},{4,5}}=>{{1,7},{2,8},{3,6},{4,5}}=>[7,8,6,5,4,3,1,2]=>([(4,7),(5,6)],8) {{1,8},{2,7},{3,6},{4,5}}=>{{1,8},{2,7},{3,6},{4,5}}=>[8,7,6,5,4,3,2,1]=>([],8)
Map
complement
Description
The complement of a set partition obtained by replacing $i$ with $n+1-i$.
Map
to permutation
Description
Sends the set partition to the permutation obtained by considering the blocks as increasing cycles.
Map
permutation poset
Description
Sends a permutation to its permutation poset.
For a permutation $\pi$ of length $n$, this poset has vertices
$$\{ (i,\pi(i))\ :\ 1 \leq i \leq n \}$$
and the cover relation is given by $(w, x) \leq (y, z)$ if $w \leq y$ and $x \leq z$.
For example, the permutation $[3,1,5,4,2]$ is mapped to the poset with cover relations
$$\{ (2, 1) \prec (5, 2),\ (2, 1) \prec (4, 4),\ (2, 1) \prec (3, 5),\ (1, 3) \prec (4, 4),\ (1, 3) \prec (3, 5) \}.$$